A331769 - OEIS

%I #11 Jul 29 2023 18:11:23

%S -264,-3456,0,-23520,12600,-88704,68544,-250560,225720,-591360,576576,

%T -1231776,1255800,-2338560,2448000,-4132224,4395384,-6894720,7405440,

%U -10977120,11858616,-16807296,18216000,-24897600,27027000,-35852544,38937024,-50376480,54695160,-69281280,75161856

%N El Gradechi's hybrid coefficients alpha^{4,6}_n.

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

%H Robin Visser, <a href="/A331769/b331769.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) = (-1)^n*240*binomial(n+5, 5) - 504*binomial(n+3, 3). - _Robin Visser_, Jul 29 2023

%o (Magma) [(-1)^n*240*Binomial(n+5,5)-504*Binomial(n+3,3): n in [0..100]]; // _Robin Visser_, Jul 29 2023

%o (PARI) a(n) = (-1)^n*240*binomial(n+5, 5)-504*binomial(n+3, 3); \\ _Robin Visser_, Jul 29 2023

%Y Cf. A331768, A331770.

%K sign

%O 0,1

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

%E More terms from _Robin Visser_, Jul 29 2023