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%I #8 Jul 20 2021 05:17:53
%S 0,1,-7,93,-2159,79205,-4243431,313117357,-30459187423,3777547352949,
%T -581776592603735,108932905225448381,-24370170371013413967,
%U 6419958293615735090053,-1967044830254804722091719,693575524342402846796188365,-278846808098157253796358662591
%N a(n) = 6 * GaussBinomial(2*n, 2, 2) * Bernoulli(2*n, 1).
%F a(n) = -2*n*(4^n - 2)*(4^n - 1)*zeta(1 - 2*n) for n >= 1.
%p a := n -> `if`(n = 0, 0, -2*n*(4^n - 2)*(4^n - 1)*Zeta(1 - 2*n)):
%p seq(a(n), n = 0..16);
%t Table[6 QBinomial[2 n, 2, 2] BernoulliB[2 n, 1], {n, 0, 16}]
%Y Cf. A006095, A000367, A002445, A346463.
%K sign
%O 0,3
%A _Peter Luschny_, Jul 19 2021
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