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A126822
Ramanujan numbers (A000594) read mod 4096.
1
1, 4072, 252, 2624, 734, 2144, 3736, 2560, 1045, 2864, 2132, 1792, 3894, 448, 648, 0, 4018, 3592, 3628, 896, 3488, 2080, 2376, 2048, 2471, 752, 2456, 1536, 1126, 832, 3424, 0, 688, 1872, 2000, 1856, 1342, 3040, 2344, 3072, 2938, 2304, 3764, 3328, 1078, 320
OFFSET
1,2
REFERENCES
Oddmund Kolberg, Congruences for Ramanujan's Function ̈tau(n), Univ. Bergen Årbok Naturvit Rekke, No. 11, 1962.
LINKS
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) == 1537 * sigma_11(n) (mod 4096) for n == 5 (mod 8) (Kolberg, 1962). - Amiram Eldar, Jan 05 2025
MATHEMATICA
a[n_] := Mod[RamanujanTau[n], 4096]; Array[a, 100] (* Amiram Eldar, Jan 05 2025 *)
PROG
(PARI) a(n) = ramanujantau(n) % 4096; \\ Amiram Eldar, Jan 05 2025
CROSSREFS
Sequence in context: A013688 A221452 A233985 * A251005 A256028 A063889
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 25 2007
STATUS
approved