A126846 Ramanujan numbers (A000594) read mod 23^2.

1, 505, 252, 115, 69, 300, 184, 369, 92, 460, 322, 414, 459, 345, 460, 22, 161, 437, 483, 0, 345, 207, 254, 413, 162, 93, 116, 0, 344, 69, 229, 230, 207, 368, 0, 0, 207, 46, 346, 69, 160, 184, 138, 0, 0, 252, 459, 254, 139, 344, 368, 414, 253, 390, 0, 184, 46, 208, 71, 0

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Jean-Pierre Serre, Une interprétation des congruences relatives à la fonction tau de Ramanujan, Séminaire Delange-Pisot-Poitou, Théorie des nombres, Vol. 9, No. 1 (1967-1968), Talk no. 14, 17 p., section 4.5, page 14-11.

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.

Formula

a(p) == sigma_11(p) (mod 23^2) for prime p of the form u^2 + 23*v^2, u >= 1 (Serre, 1968). - Amiram Eldar, Jan 05 2025

Mathematica

a[n_] := Mod[RamanujanTau[n], 529]; Array[a, 100] (* Amiram Eldar, Jan 05 2025 *)

Prog

(PARI) a(n) = ramanujantau(n) % 529; \\ Amiram Eldar, Jan 05 2025

Crossrefs

Cf. A000594, A013959.

Sequence in context: A003798 A003791 A003925 * A332150 A336561 A158633

Adjacent sequences: A126843 A126844 A126845 * A126847 A126848 A126849

Keyword

nonn,changed

Author

N. J. A. Sloane, Feb 25 2007

Status

approved