Returned 100 matches (100 formulae, 53 docs)
    Lookup 5.870 ms, Re-ranking 1437.384 ms
    Found 88932 tuple postings, 44940 formulae, 10804 documents
[ formulas ] [ documents ] [ documents-by-formula ]

1.0000
1 + 1 2 + 1 5 + 1 5 + 1 4 +

0.8456
1 + 1 2 + 1 2 + 1 2 + 1 2 +

0.7941
1 + 1 1 + 1 1 + 1 1 + 1 1 +

0.7794
2 + 1 4 + 1 4 + 1 4 + 1 4 +

0.7256
2 = 1 + 1 2 + 1 2 + 1 2 + 1 2 + .

0.7194
1 + 1 1 + 1 1 + 1 5 + 1 1 + 1 4 +

0.6945
x = 1 + 1 1 + 1 1 + 1 1 + 1 1 +

0.6918
1 3 + 1 1 + 1 1 + 1 3 + 1 9 +

0.6866
1 + 1 1 + 1 2 + 1 1 + 1 2 + 1 1 +

0.6449
1 + 1 4 + 1 1 + 1 18 + 1

0.6408
2 + 1 2 + 1 2 + 1 2 + 1

0.6358
1 + 1 2 + 1 3 + 1 4 + 1 5 + 1 6 +

0.6335
e = 2 + 1 1 + 1 2 + 1 1 + 1 1 + 1 4 +

0.5541
2 = 1 + 1 2 + 1 2 + 1 2 + 1 2 + 1 2 + .

0.5407
π = 4 1 + 1 2 3 + 2 2 5 + 3 2 7 + 4 2 9 +

0.5407
π = 4 1 + 1 2 2 + 3 2 2 + 5 2 2 + 7 2 2 +

0.5365
π = 4 1 + 1 2 2 + 3 2 2 + 5 2 2 + 7 2 2 + .

0.5310
δ S = 2 + 1 2 + 1 2 + 1 2 + .

0.5283
x = 1 + 1 2 + 1 2 + 1 2 + 1 2 + 1 2 + = 2 .

0.5274
11 = 3 + 1 3 + 1 6 + 1 3 + 1 6 + 1 3 +

0.5212
π = 3 + 1 2 6 + 3 2 6 + 5 2 6 + 7 2 6 +

0.5209
x = 1 + z 1 + z 1 + z 1 + z 1 +

0.5078
π = 2 + 4 3 + 1 3 4 + 3 5 4 + 5 7 4 +

0.5000
φ = 1 + 1 1 + 1 1 + 1 1 +

0.4967
π = 4 1 + 1 2 3 + 2 2 5 + 3 2 7 +

0.4824
1 1 + 1 0 + 1 8 + 1 4 + 1 1 + 1 0 + 1 /

0.4324
4 π = 1 + 1 2 2 + 3 2 2 + 5 2 2 + 7 2 2 + 9 2 2 +

0.4235
tanh 1 2 = e - 1 e + 1 = 0 + 1 2 + 1 6 + 1 10 + 1 14 + 1

0.4195
e z = 1 + z 1 + - z 2 + z 3 + - 2 z 4 + 2 z 5 +

0.4158
π = 3 + 1 2 6 + 3 2 6 + 5 2 6 +

0.4025
π 4 = 1 1 + 1 2 2 + 3 2 2 + 5 2 2 + 7 2 2 + 9 2 2 +

0.3958
577 408 = 1 + 1 2 + 1 2 + 1 2 + 1 2 + 1 2 + 1 2 + 1 2 .

0.3907
x = 1 1 + a 2 1 + a 3 1 + a 4 1 +

0.3857
π = 3 + 1 7 + 1 15 + 1 1 + 1 292 + 1 1 + 1 1 + 1 1 +

0.3810
y = 1 + z 1 + z 1 + z 1 +

0.3807
φ = [ 1 ; 1 , 1 , 1 , ] = 1 + 1 1 + 1 1 + 1 1 +

0.3772
φ - 1 = [ 0 ; 1 , 1 , 1 , ] = 0 + 1 1 + 1 1 + 1 1 +

0.3745
e z = 1 1 + - z 1 + z 2 + - z 3 + 2 z 4 + - 2 z 5 +

0.3590
a 0 + 1 a 1 + 1 a 2 + 1 + 1 a n ,

0.3583
23 16 = 1 + 1 2 + 1 3 + 1 2 = [ 1 ; 2 , 3 , 2 ] ,

0.3575
e = 1 + 2 1 + 1 6 + 1 10 + 1 14 + 1 18 + 1 22 + 1 26 + .

0.3558
L ( x ) = x 3 + x 2 5 + x 2 7 + x 2 9 +

0.3491
f 1 f 0 = 1 1 + k 1 z 1 + k 2 z 1 + k 3 z 1 +

0.3453
tan ( x ) = x 1 + - x 2 3 + - x 2 5 + - x 2 7 +

0.3446
1 15 + 1 1 + 1 102

0.3388
f ( z ) = 1 + z 1 + z 1 + z 1 + z .

0.3353
arctan z = z 1 + ( 1 z ) 2 3 + ( 2 z ) 2 5 + ( 3 z ) 2 7 + ( 4 z ) 2 9 + ,

0.3322
e 2 = 1 + 4 0 + 2 2 6 + 2 2 10 + 2 2 14 + = 7 + 2 5 + 1 7 + 1 9 + 1 11 +

0.3298
( 1 - z ) - b = 1 1 + - b z 1 + ( b - 1 ) z 2 + - ( b + 1 ) z 3 + 2 ( b - 2 ) z 4 +

0.3287
f ( z ) = 1 1 + c 2 z 1 + c 3 z 1 + c 4 z 1 +

0.3193
I 1 ( 2 ) I 0 ( 2 ) = n = 0 n n ! n ! n = 0 1 n ! n ! = 1 1 + 1 2 + 1 3 + 1 4 + 1 5 + 1 6 + 1 /

0.3184
π 4 = 1 1 + 1 2 2 + 3 2 2 + 5 2 2 + = 1 - 1 3 + 1 5 - 1 7 + -

0.3161
x = a 0 + 1 a 1 + 1 a 2 + 1 a 3 + 1

0.3112
1 + q 1 + q 2 1 + q 3 1 + = G ( q ) H ( q ) .

0.3097
x = 1 + x - 1 2 + x - 1 2 + x - 1 2 +

0.2988
e = 2 + 1 1 + 2 5 + 1 10 + 1 14 + 1 18 + = 1 + 2 1 + 1 6 + 1 10 + 1 14 + 1 18 +

0.2955
Γ ( s , z ) = z s e - z z + 1 - s 1 + 1 z + 2 - s 1 + 2 z + 3 - s 1 +

0.2912
e 3 = 1 + 6 - 1 + 3 2 6 + 3 2 10 + 3 2 14 + = 13 + 54 7 + 9 14 + 9 18 + 9 22 +

0.2898
S = a 0 + 1 a 1 + 1 a 2 + 1 a 3 +

0.2857
x = a 0 + 1 a 1 + 1 a 2 + 1 a 3 + .

0.2849
e = 2 + 1 1 + 1 2 + 2 3 + 3 4 + 4 5 + = 2 + 2 2 + 3 3 + 4 4 + 5 5 + 6 6 +

0.2833
n + 1 n + 1 n + 1 n + 1 n + = [ n ; n , n , n , n , ] = 1 2 ( n + n 2 + 4 )

0.2833
c 0 + K n = 1 1 c n = c 0 + 1 c 1 + 1 c 2 + 1 c 3 + 1 c 4 +

0.2807
G = 1 1 + 1 1 + 1 1 + 2 1 + 2 1 + 3 1 + 3 1 + 4 1 1 + .

0.2800
a + 1 b + 1 c + 1

0.2784
- 3 + 1 2 + 1 18

0.2642
a 1 + 1 a 2 + 1 a 3 + 1

0.2613
r = a 0 + 1 a 1 + 1 a 2 + 1 a 3 + ,

0.2560
x = 1 1 + a 2 b 2 + a 3 b 3 + a 4 b 4 +

0.2556
x = z - 1 1 + z - 2 1 + z - 2 1 +

0.2523
a 0 + 1 a 1 + 1 a 2 + 1 a 3

0.2433
4 0 x e - x 5 cosh x d x = 1 1 + 1 2 1 + 1 2 1 + 2 2 1 + 2 2 1 + 3 2 1 + 3 2 1 + .

0.2363
π = 2 + 2 1 + 1 1 / 2 + 1 1 / 3 + 1 1 / 4 + = 2 + 2 1 + 1 2 1 + 2 3 1 + 3 4 1 +

0.2329
log 2 = log ( 1 + 1 ) = 1 1 + 1 2 + 1 3 + 2 2 + 2 5 + 3 2 + = 2 3 - 1 2 9 - 2 2 15 - 3 2 21 -

0.2312
x = b 0 + a 1 b 1 + a 2 b 2 + a 3 b 3 + a 4 b 4 +

0.2296
π = 4 1 + 1 2 2 + 3 2 2 + 5 2 2 + = n = 0 4 ( - 1 ) n 2 n + 1 = 4 1 - 4 3 + 4 5 - 4 7 + -

0.2284
x = [ a 0 ; a 1 , a 2 , a 3 , ] = a 0 + 1 a 1 + 1 a 2 + 1 a 3 + 1 ,

0.2283
x = b 0 + a 1 b 1 + a 2 b 2 + a 3 b 3 + a 4 b 4 + .

0.2278
2 c + 2 d + 2 4 = a

0.2260
[ 2 ; - 4 , - 4 , - 4 , ] = 2 - 1 4 - 1 4 - 1 4 -

0.2236
p ( z ) = a 0 z + a 1 z + a 2 z + a 3 z +

0.2226
1 1 + e - 2 π 1 + e - 4 π 1 + e - 6 π 1 + = ( 5 + 5 2 - 5 + 1 2 ) e 2 π / 5 = e 2 π / 5 ( φ 5 - φ ) .

0.2197
a 0 + b 1 a 1 + b 2 a 2 + b 3 a 3 +

0.2191
x = K 1 1 z = 1 z + 1 z + 1 z +

0.2184
q = a 0 + 1 a 1 + 1 a 2 + 1 a 3 + 1 + 1 a k = [ a 0 ; a 1 , a 2 , , a k ]

0.2179
x = a 0 + 1 a 1 + 1 a 2 + 1 a 3

0.2178
x = [ a 0 ; a 1 , a 2 , ] = a 0 + 1 a 1 + 1 a 2 + 1 a 3 + 1 a 4 + = a 0 + K i = 1 1 a i ,

0.2177
ln 2 = 1 1 + 1 2 + 1 3 + 2 2 + 2 5 + 3 2 + 3 7 + 4 2 + = 2 3 - 1 2 9 - 2 2 15 - 3 2 21 -

0.2173
a b = q 0 + 1 q 1 + 1 q 2 + 1 + 1 q N = [ q 0 ; q 1 , q 2 , , q N ] .

0.2170
π = 3 + 1 7 + 1 15 + 1 1 + 1 292 + 1 1 + 1 1 + 1 1 + 1 2 + 1 1 + 1 3 + 1 1 +

0.2149
π = 4 1 + 1 2 3 + 2 2 5 + 3 2 7 + = 4 - 1 + 1 6 - 1 34 + 16 3145 - 4 4551 + 1 6601 - 1 38341 + -

0.2120
e z = 1 + 2 z 2 - z + z 2 6 + z 2 10 + z 2 14 +

0.2051
1 1 + 1 2 2 + 3 2 2 = 13 15 = 1 - 1 3 + 1 5 .

0.2000
f ( z ) = a 1 z 1 + a 2 z 1 + a 3 z 1 + a 4 z

0.1964
a 1 b 1 + a 2 b 2 + a 3 b 3 +

0.1924
[ 1 ; 2 , 3 , 1 ] = [ 1 ; 2 , 4 ] = 1 + 1 2 + 1 4 = 13 9 .

0.1870
x = 1 + 1 1 + ( 1 + 1 1 + x ) = 1 + 1 2 + 1 1 + x .

0.1838
π = 4 n = 0 ( - 1 ) n 2 n + 1 = 4 ( 1 1 - 1 3 + 1 5 - 1 7 + - ) = 4 1 + 1 2 2 + 3 2 2 + 5 2 2 +

0.1772
F 1 0 ( a + 1 ; z ) a 0 F 1 ( a ; z ) = 1 a + z ( a + 1 ) + z ( a + 2 ) + z ( a + 3 ) +

0.0833
1 + 1 2 + 1 3 + 1 4 + 1 5 +