A331768 El Gradechi's hybrid coefficients alpha^{4,4}_{2n}.

480, 4800, 16800, 40320, 79200, 137280, 218400, 326400, 465120, 638400, 850080, 1104000, 1404000, 1753920, 2157600, 2618880, 3141600, 3729600, 4386720, 5116800, 5923680, 6811200, 7783200, 8843520, 9996000, 11244480, 12592800, 14044800, 15604320, 17275200, 19061280, 20966400, 22994400

Offset

0,1

Comments

See El Gradechi (2013) page 426 for precise definition.

Links

Robin Visser, Table of n, a(n) for n = 0..10000

Amine M. El Gradechi, The Lie theory of certain modular form and arithmetic identities, The Ramanujan Journal 31.3 (2013): 397-433.

Formula

a(n) = 480 * binomial(3 + 2*n, 3) = 480 * A000447(n+1). - Robin Visser, Jul 24 2023

Prog

(Magma) [480*Binomial(3 + 2*n, 3) : n in [0..100]];  // Robin Visser, Jul 24 2023
(PARI)  a(n) = 480*binomial(3 + 2*n, 3);  \\ Robin Visser, Jul 24 2023

Crossrefs

Cf. A000447, A331769, A331770.

Sequence in context: A357493 A063870 A329536 * A035314 A022047 A107511

Adjacent sequences: A331765 A331766 A331767 * A331769 A331770 A331771

Keyword

nonn

Author

N. J. A. Sloane, Feb 08 2020

Extensions

More terms from Robin Visser, Jul 24 2023

Status

approved