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Fourier coefficients of the modular form (1/t_{3A}) * sqrt(1 - 108/t_{3A}) * F_{3A}^10.
2

%I #12 Mar 31 2023 07:15:28

%S 0,1,-36,-81,784,-1314,2916,-4480,-9792,6561,47304,1476,-63504,

%T -151522,161280,106434,-48896,108162,-236196,593084,-1030176,362880,

%U -53136,-969480,793152,-226529,5454792,-531441,-3512320,-6642522,-3831624,7070600,6773760,-119556,-3893832

%N Fourier coefficients of the modular form (1/t_{3A}) * sqrt(1 - 108/t_{3A}) * F_{3A}^10.

%H Masao Koike, <a href="/A004016/a004016.pdf">Modular forms on non-compact arithmetic triangle groups</a>, Unpublished manuscript [Extensively annotated with OEIS A-numbers by N. J. A. Sloane, Feb 14 2021.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 29.

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

%Y Cf. A004016, A030197, A341305, A341554, A341560, A341562.

%K sign

%O 0,3

%A _Robert C. Lyons_, Feb 14 2021

%E More terms from _Georg Fischer_, Mar 31 2023