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A146098
Bell numbers (A000110) read mod 8.
1
1, 1, 2, 5, 7, 4, 3, 5, 4, 3, 7, 2, 5, 5, 2, 1, 3, 4, 7, 1, 4, 7, 3, 2, 1, 1, 2, 5, 7, 4, 3, 5, 4, 3, 7, 2, 5, 5, 2, 1, 3, 4, 7, 1, 4, 7, 3, 2, 1, 1, 2, 5, 7, 4, 3, 5, 4, 3, 7, 2, 5, 5, 2, 1, 3, 4, 7, 1, 4, 7, 3, 2, 1, 1, 2, 5, 7, 4, 3, 5, 4, 3, 7, 2, 5, 5, 2, 1, 3, 4, 7, 1, 4, 7, 3, 2, 1, 1, 2, 5, 7, 4, 3, 5, 4
OFFSET
0,3
LINKS
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).
FORMULA
a(n) = a(n-24). [Charles R Greathouse IV, Jul 06 2011] [See A054767. - Jianing Song, Jun 20 2025]
MATHEMATICA
Mod[BellB[Range[0, 100]], 8] (* G. C. Greubel, Jan 31 2016 *)
PROG
(Magma) [Bell(n) mod 8: n in [0..100]]; // Vincenzo Librandi, Feb 01 2016
CROSSREFS
Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).
Cf. A054767 (periods).
Sequence in context: A246207 A286615 A200112 * A296567 A205113 A349047
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Feb 07 2009
STATUS
approved