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A126818
Ramanujan numbers (A000594) read mod 256.
1
1, 232, 252, 64, 222, 96, 152, 0, 21, 48, 84, 0, 54, 192, 136, 0, 178, 8, 44, 128, 160, 32, 72, 0, 167, 240, 152, 0, 102, 64, 96, 0, 176, 80, 208, 64, 62, 224, 40, 0, 122, 0, 180, 0, 54, 64, 16, 0, 169, 88, 56, 128, 110, 192, 216, 0, 80, 112, 228, 0, 198, 0, 120, 0, 212, 128, 188
OFFSET
1,2
LINKS
George E. Andrews and Bruce C. Berndt, Ramanujan's Unpublished Manuscript on the Partition and Tau Functions, in: Ramanujan's Lost Notebook, Part III, Springer, New York, NY, 2012.
R. P. Bambah and S. Chowla, The Residue of Ramanujan's Function tau(n) to the Modulus 2^8, Journal of the London Mathematical Society, Vol s1-22, No. 2 (1947), pp. 140-147.
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) == sigma_11(n) (mod 256) for n odd (Bambah and Chowla, 1947; Andrews and Berndt, 2012, eq. (5.12.26), p. 118). - Amiram Eldar, Jan 05 2025
MATHEMATICA
a[n_] := Mod[RamanujanTau[n], 256]; Array[a, 100] (* Amiram Eldar, Jan 05 2025 *)
PROG
(PARI) a(n) = ramanujantau(n) % 256; \\ Amiram Eldar, Jan 05 2025
CROSSREFS
Sequence in context: A319306 A280538 A050423 * A277076 A250645 A179246
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Feb 25 2007
STATUS
approved