A341558 Fourier coefficients of the modular form (1/t_{3A}^2) * F_{3A}^12.

0, 0, 1, -12, 54, -100, 45, -108, 692, -108, -2970, 1012, 4542, 13176, -25168, -33660, 27864, 97944, 61641, -295812, -142780, 227172, 613548, -32656, -1181916, 54000, 449990, 1389960, -1340064, -1153484, 2112750, 18684, 1743312, -6661260, 733698, 2254360, 3347622

Offset

0,4

Links

Table of n, a(n) for n=0..36.

Masao Koike, Modular forms on non-compact arithmetic triangle groups, Unpublished manuscript [Extensively annotated with OEIS A-numbers by N. J. A. Sloane, Feb 14 2021. Sloane wrote 2005 on the first page but the internal evidence suggests 1997.] See page 30.

Formula

1/t_{3A} is A030197, F_{3A} is A004016. - Georg Fischer, Mar 31 2023

Crossrefs

Cf. A004016, A030197, A136747, A341556, A341557, A341561.

Sequence in context: A186210 A209676 A000735 * A022704 A372025 A060785

Adjacent sequences: A341555 A341556 A341557 * A341559 A341560 A341561

Keyword

sign

Author

Robert C. Lyons, Feb 14 2021

Extensions

More terms from Georg Fischer, Mar 31 2023

Status

approved