A126835 Ramanujan numbers (A000594) read mod 625.

1, 601, 252, 403, 455, 202, 131, 105, 107, 330, 237, 306, 387, 606, 285, 261, 316, 557, 170, 240, 512, 562, 147, 210, 150, 87, 295, 293, 380, 35, 582, 571, 349, 541, 230, 621, 436, 295, 24, 275, 442, 212, 542, 511, 560, 222, 371, 147, 418, 150, 257, 336, 552, 420

Offset: 1

Author

N. J. A. Sloane, Feb 25 2007

Keywords

• nonn

Links

• Seiichi Manyama, 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, A126832 (mod 5^1), A126833 (mod 5^2), A126834 (mod 5^3), this sequence (mod 5^4).

Programs

Mathematica

a[n_] := Mod[RamanujanTau[n], 625]; Array[a, 100] (* Amiram Eldar, Jan 05 2025 *)

PARI

a(n) = ramanujantau(n) % 625; \\ Amiram Eldar, Jan 05 2025