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

%I #9 Jun 23 2018 12:52:24

%S 1,3,9,-15,21,18,-45,24,45,-69,54,36,-105,42,72,-90,93,54,-207,60,126,

%T -120,108,72,-225,93,126,-231,168,90,-270,96,189,-180,162,144,-483,

%U 114,180,-210,270,126,-360,132,252,-414,216,144,-465,171,279,-270,294,162,-693,216,360,-300,270,180

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

%H H Movasati, Y Nikdelan, <a href="http://arxiv.org/abs/1603.09411">Gauss-Manin Connection in Disguise: Dwork Family</a>, arXiv preprint arXiv:1603.09411, 2016. See t_2(q) in (1.11), also Table 1.

%F Conjecture: -3 A122858(n) - A229616(n) + 4 A282031(n) = 0 for all n. - _Thomas Baruchel_, Jun 23 2018

%Y See A006352 for E_2.

%K sign

%O 0,2

%A _N. J. A. Sloane_, Feb 19 2017