A171485 - cp's OEIS frontend

A171485 Beukers integral Integral_{y = 0..1} Integral_{x = 0..1} -log(xy) / (1-xy) * P_n(2x-1) P_n(2y-1) dx dy = (A(n) + B(n)zeta(3)) / A003418(n)^3. This sequence gives the values of B(n).

n	a(n)
0	2
1	10
2	1168
3	624240
4	114051456
5	353810160000
6	9271076400000
7	86580328116240000
8	19402654331894400000
9	15000926812307614080000
10	437120128035736887168000
11	17196604114594832318160000000
12	514325437537328572480262784000
13	34134351456507030556755674947200000

[2, 10, 1168, 624240, 114051456, 353810160000, 9271076400000, 86580328116240000, 19402654331894400000, 15000926812307614080000, 437120128035736887168000, 17196604114594832318160000000, 514325437537328572480262784000, 34134351456507030556755674947200000]

cp's OEIS Frontend

A171485 Beukers integral Integral_{y = 0..1} Integral_{x = 0..1} -log(xy) / (1-xy) * P_n(2x-1) P_n(2y-1) dx dy = (A(n) + B(n)zeta(3)) / A003418(n)^3. This sequence gives the values of B(n).

Table of values

List of values

cp's OEIS Frontend

A171485 Beukers integral Integral_{y = 0..1} Integral_{x = 0..1} -log(x*y) / (1-x*y) * P_n(2*x-1) * P_n(2*y-1) dx dy = (A(n) + B(n)*zeta(3)) / A003418(n)^3. This sequence gives the values of B(n).

Table of values

List of values

A171485 Beukers integral Integral_{y = 0..1} Integral_{x = 0..1} -log(xy) / (1-xy) * P_n(2x-1) P_n(2y-1) dx dy = (A(n) + B(n)zeta(3)) / A003418(n)^3. This sequence gives the values of B(n).