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A331770 El Gradechi's hybrid coefficients alpha^{6,6}_{2n}, negated. 3

%I #19 Jul 29 2023 03:29:08

%S 1008,21168,127008,465696,1297296,3027024,6237504,11721024,20511792,

%T 33918192,53555040,81375840,119705040,171270288,239234688,327229056,

%U 439384176,580363056,755393184,970298784,1231533072,1546210512,1922139072,2367852480,2892642480,3506591088,4220602848

%N El Gradechi's hybrid coefficients alpha^{6,6}_{2n}, negated.

%C See El Gradechi (2013) for precise definition.

%H Robin Visser, <a href="/A331770/b331770.txt">Table of n, a(n) for n = 0..10000</a>

%H Amine M. El Gradechi, <a href="https://doi.org/10.1007/s11139-012-9415-5">The Lie theory of certain modular form and arithmetic identities</a>, The Ramanujan Journal 31.3 (2013): 397-433.

%F a(n) = 1008 * binomial(5 + 2*n, 5) = 1008 * A002299(n). - _Robin Visser_, Jul 24 2023

%o (Magma) [1008*Binomial(5 + 2*n, 5) : n in [0..100]]; // _Robin Visser_, Jul 24 2023

%o (PARI) a(n) = 1008*binomial(5 + 2*n, 5); \\ _Robin Visser_, Jul 24 2023

%Y Cf. A002299, A331768, A331769.

%K nonn

%O 0,1

%A _N. J. A. Sloane_, Feb 08 2020

%E More terms from _Robin Visser_, Jul 24 2023

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