A146097 Bell numbers (A000110) read mod 7.

1, 1, 2, 5, 1, 3, 0, 2, 3, 0, 6, 4, 3, 2, 5, 3, 6, 3, 0, 5, 0, 1, 2, 2, 3, 5, 5, 1, 3, 4, 5, 1, 3, 6, 4, 0, 2, 6, 4, 2, 3, 4, 2, 1, 3, 6, 5, 0, 6, 3, 4, 2, 4, 5, 6, 2, 0, 6, 6, 2, 4, 1, 2, 6, 5, 1, 6, 5, 3, 1, 4, 6, 0, 4, 1, 4, 5, 3, 6, 4, 5, 5, 2, 1, 2, 3, 2, 3, 0, 3, 3, 5, 5, 5, 3, 3, 6, 1, 3, 3, 1, 6, 2, 0, 4

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

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 periodic sequences, period 137257.

Index entries for linear recurrences with constant coefficients, order 137257.

Formula

a(n+137257) = a(n). - G. C. Greubel, Jan 31 2016 [See A054767. - Jianing Song, Jun 20 2025]

Maple

seq(combinat:-bell(n) mod 7, n=0..100); # Robert Israel, Jan 31 2016

Mathematica

Mod[BellB[Range[0, 100]], 7] (* G. C. Greubel, Jan 31 2016 *)

Prog

(Magma) [Bell(n) mod 7: 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: A021402 A201890 A341923 * A394392 A091953 A228824

Adjacent sequences: A146094 A146095 A146096 * A146098 A146099 A146100

Keyword

nonn,easy

Author

N. J. A. Sloane, Feb 07 2009

Status

approved