A288990 Define the exponents b(1), b(2), ... such that E_12 is equal to (1-q)^b(1) (1-q^2)^b(2) (1-q^3)^b(3) ... . a(n) = b(n) * A288989(n).

-65520, -90598009320, 442356959924880, 4181653887366701917080, -42458488603945952980072176, -254774947034575235293755006524520, 3880639008647135220484579615019041680, 17460929863645555627595091312548802016985880

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Formula

b(n) = a(n)/A288989(n) = 24 + (1/n) * Sum_{d|n} A008683(n/d) * A288472(d)/A288989(d).

Example

b(1) = 24 + 1/1 * A008683(1/1) * A288472(1)/A288989(1) = 24 + 1/1 * (-82104/691) = -65520/691,
b(2) = 24 + 1/2 * (A008683(2/1) * A288472(1)/A288989(1) + A008683(2/2) * A288472(2)/A288989(2)) = 24 + 1/2 * (82104/691 - 181275671592/477481) = -90598009320/477481.

Crossrefs

Cf. A288989.

Cf. A288968 (k=2), A110163 (k=4), A288851 (k=6), A288471 (k=8).

Sequence in context: A102277 A013692 A037164 * A075964 A075969 A075965

Adjacent sequences: A288987 A288988 A288989 * A288991 A288992 A288993

Keyword

sign

Author

Seiichi Manyama, Jun 21 2017

Status

approved