A331770 -id:A331770 - cp's OEIS frontend

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

N. J. A. Sloane, Feb 08 2020

nonn

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

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.

Cf. A000447, A331769, A331770.

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

a(n) = 480*binomial(3 + 2*n, 3);  \\ Robin Visser, Jul 24 2023

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

More terms from Robin Visser, Jul 24 2023

A331769 El Gradechi's hybrid coefficients alpha^{4,6}_n.

Original entry on oeis.org

-264, -3456, 0, -23520, 12600, -88704, 68544, -250560, 225720, -591360, 576576, -1231776, 1255800, -2338560, 2448000, -4132224, 4395384, -6894720, 7405440, -10977120, 11858616, -16807296, 18216000, -24897600, 27027000, -35852544, 38937024, -50376480, 54695160, -69281280, 75161856

Offset: 0

N. J. A. Sloane, Feb 08 2020

sign

See El Gradechi (2013) for precise definition.

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.

Cf. A331768, A331770.

[(-1)^n*240*Binomial(n+5,5)-504*Binomial(n+3,3): n in [0..100]]; // Robin Visser, Jul 29 2023

a(n) = (-1)^n*240*binomial(n+5, 5)-504*binomial(n+3, 3); \\ Robin Visser, Jul 29 2023

a(n) = (-1)^n*240*binomial(n+5, 5) - 504*binomial(n+3, 3). - Robin Visser, Jul 29 2023

More terms from Robin Visser, Jul 29 2023

cp's OEIS Frontend

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

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