A126816 Ramanujan numbers (A000594) read mod 64.

1, 40, 60, 0, 30, 32, 24, 0, 21, 48, 20, 0, 54, 0, 8, 0, 50, 8, 44, 0, 32, 32, 8, 0, 39, 48, 24, 0, 38, 0, 32, 0, 48, 16, 16, 0, 62, 32, 40, 0, 58, 0, 52, 0, 54, 0, 16, 0, 41, 24, 56, 0, 46, 0, 24, 0, 16, 48, 36, 0, 6, 0, 56, 0, 20, 0, 60, 0, 32, 0, 24, 0, 26, 48, 36, 0, 32, 0, 48, 0, 9, 16

Offset: 1

Author

N. J. A. Sloane, Feb 25 2007

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• H. P. F. Swinnerton-Dyer, On l-adic representations and congruences for coefficients of modular forms, pp. 1-55 of Modular Functions of One Variable III (Antwerp 1972), Lect. Notes Math., 350, 1973.

Crossrefs

Cf. A000594.

Programs

Mathematica

a[n_] := Mod[RamanujanTau[n], 64]; Array[a, 100] (* Amiram Eldar, Jan 05 2025 *)

PARI

a(n) = ramanujantau(n) % 64; \\ Amiram Eldar, Jan 05 2025