A316912 - cp's OEIS frontend

A316912 Define K(n) = Integral_{t=0..1} (-1/2)^n/(1+t)((1-t)^2t^2/(1+t))^ndt and write K(n) = d(n)log(2) - b(n)/a(n) where a(n), d(n), b(n) are positive integers; sequence gives a(n).

n	a(n)
0	1
1	6
2	40
3	288
4	10560
5	24024
6	792064
7	34728960
8	3627008
9	302356454400
10	307660953600
11	98050867200
12	15038824120320
13	4757532010463232
14	577952036826644480
15	26189033224273920
16	358597702262241361920
17	244498433360619110400
18	143982410756809031680

[1, 6, 40, 288, 10560, 24024, 792064, 34728960, 3627008, 302356454400, 307660953600, 98050867200, 15038824120320, 4757532010463232, 577952036826644480, 26189033224273920, 358597702262241361920, 244498433360619110400, 143982410756809031680]

cp's OEIS Frontend

A316912 Define K(n) = Integral_{t=0..1} (-1/2)^n/(1+t)((1-t)^2t^2/(1+t))^ndt and write K(n) = d(n)log(2) - b(n)/a(n) where a(n), d(n), b(n) are positive integers; sequence gives a(n).

Table of values

List of values

cp's OEIS Frontend

A316912 Define K(n) = Integral_{t=0..1} (-1/2)^n/(1+t)*((1-t)^2*t^2/(1+t))^n*dt and write K(n) = d(n)*log(2) - b(n)/a(n) where a(n), d(n), b(n) are positive integers; sequence gives a(n).

Table of values

List of values

A316912 Define K(n) = Integral_{t=0..1} (-1/2)^n/(1+t)((1-t)^2t^2/(1+t))^ndt and write K(n) = d(n)log(2) - b(n)/a(n) where a(n), d(n), b(n) are positive integers; sequence gives a(n).