A328093 Expansion of (theta_3(z)*theta_3(23z) + theta_2(z)*theta_2(23z))^5.

1, 10, 40, 80, 90, 112, 260, 480, 700, 1050, 1520, 2160, 2980, 3920, 5920, 8160, 9530, 12800, 16620, 20560, 26672, 30720, 38960, 47690, 52020, 66250, 77380, 87940, 101600, 112720, 134304, 147920, 171020, 185760, 220160, 230400, 263550, 292080, 341200, 346820, 423984, 425680, 516480, 527600, 619120

Offset

0,2

References

Köklüce, Bülent. "Cusp forms in S_6 (Gamma_ 0(23)), S_8 (Gamma_0 (23)) and the number of representations of numbers by some quadratic forms in 12 and 16 variables." The Ramanujan Journal 34.2 (2014): 187-208. See F_k, p. 188.

Links

Jinyuan Wang, Table of n, a(n) for n = 0..1000

Prog

(PARI) a(n) = polcoeff((1 + 2*x*Ser(qfrep([2, 1; 1, 12], n, 1)))^5, n); \\ Jinyuan Wang, Feb 19 2020

Crossrefs

Cf. A028959, A028659, A028660, A328094.

Sequence in context: A352777 A108777 A000132 * A306830 A305131 A217073

Adjacent sequences: A328090 A328091 A328092 * A328094 A328095 A328096

Keyword

nonn

Author

N. J. A. Sloane, Oct 17 2019

Status

approved