A146099 - OEIS

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A146099

Bell numbers (A000110) read mod 9.

1

1, 1, 2, 5, 6, 7, 5, 4, 0, 6, 1, 6, 4, 1, 7, 5, 5, 0, 4, 5, 1, 6, 6, 1, 6, 4, 1, 1, 5, 2, 6, 4, 5, 4, 6, 3, 1, 6, 1, 1, 1, 2, 5, 6, 7, 5, 4, 0, 6, 1, 6, 4, 1, 7, 5, 5, 0, 4, 5, 1, 6, 6, 1, 6, 4, 1, 1, 5, 2, 6, 4, 5, 4, 6, 3, 1, 6, 1, 1, 1, 2, 5, 6, 7, 5, 4, 0, 6, 1, 6, 4, 1, 7, 5, 5, 0, 4, 5, 1, 6, 6, 1, 6, 4, 1

(list; graph; refs; listen; history; text; internal format)

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 linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

FORMULA

a(n+39) = a(n). - G. C. Greubel, Jan 31 2016 [See A054767. - Jianing Song, Jun 20 2025]

MATHEMATICA

Mod[BellB[Range[0, 100]], 9] (* G. C. Greubel, Jan 31 2016 *)

PROG

(Magma) [Bell(n) mod 9: 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: A273237 A278084 A225366 * A004097 A262368 A198547

Adjacent sequences: A146096 A146097 A146098 * A146100 A146101 A146102

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Feb 07 2009

STATUS

approved