A282031 Coefficients in q-expansion of (9*E_2(q^3)-E_2(q))/8.

1, 3, 9, -15, 21, 18, -45, 24, 45, -69, 54, 36, -105, 42, 72, -90, 93, 54, -207, 60, 126, -120, 108, 72, -225, 93, 126, -231, 168, 90, -270, 96, 189, -180, 162, 144, -483, 114, 180, -210, 270, 126, -360, 132, 252, -414, 216, 144, -465, 171, 279, -270, 294, 162, -693, 216, 360, -300, 270, 180

Offset

0,2

Links

Table of n, a(n) for n=0..59.

H Movasati, Y Nikdelan, Gauss-Manin Connection in Disguise: Dwork Family, arXiv preprint arXiv:1603.09411, 2016. See t_2(q) in (1.11), also Table 1.

Formula

Conjecture: -3 A122858(n) - A229616(n) + 4 A282031(n) = 0 for all n. - Thomas Baruchel, Jun 23 2018

Crossrefs

See A006352 for E_2.

Sequence in context: A123998 A117105 A261190 * A307202 A162488 A324298

Adjacent sequences: A282028 A282029 A282030 * A282032 A282033 A282034

Keyword

sign

Author

N. J. A. Sloane, Feb 19 2017

Status

approved