A126840 -id:A126840

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A126839

Ramanujan numbers (A000594) read mod 11.

+10
4

1, 9, 10, 2, 1, 2, 9, 0, 9, 9, 1, 9, 4, 4, 10, 7, 9, 4, 0, 2, 2, 9, 10, 0, 7, 3, 5, 7, 0, 2, 7, 8, 10, 4, 9, 7, 3, 0, 7, 0, 3, 7, 5, 2, 9, 2, 8, 4, 8, 8, 2, 8, 5, 1, 1, 0, 0, 0, 5, 9, 1, 8, 4, 3, 4, 2, 4, 7, 1, 4, 8, 0, 4, 5, 4, 0, 9, 8, 1, 7, 1, 5, 5, 4, 9, 1, 0, 0, 4, 4, 3, 9, 4, 6, 0, 3, 4, 6, 9, 3, 2, 7, 6

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OFFSET

1,2

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.

FORMULA

a(n) = A006571(n) (mod 11), n >= 1. For a proof see the Cowles link under A006571. See also the R. J. Mathar formula there. - Wolfdieter Lang, Feb 16 2016

CROSSREFS

Cf. A000594, this sequence (mod 11^1), A126840 (mod 11^2), A126841 (mod 11^3).

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 25 2007

STATUS

approved

A126841

Ramanujan numbers (A000594) read mod 11^3.

+10
3

1, 1307, 252, 1190, 837, 607, 559, 627, 823, 1208, 881, 405, 1247, 1225, 626, 865, 625, 213, 110, 442, 1113, 152, 1286, 946, 73, 685, 456, 1041, 1067, 948, 194, 855, 1066, 972, 702, 1085, 586, 22, 128, 385, 597, 1239, 269, 893, 724, 1080, 932, 1027, 1229, 910, 442