A146117 Bell numbers (A000110) read mod 27.

1, 1, 2, 5, 15, 25, 14, 13, 9, 6, 10, 6, 4, 1, 7, 23, 23, 0, 22, 5, 1, 15, 6, 1, 15, 13, 19, 10, 23, 2, 24, 13, 5, 4, 6, 21, 10, 24, 10, 19, 10, 20, 14, 24, 7, 23, 22, 0, 6, 1, 6, 22, 19, 7, 5, 23, 18, 13, 14, 1, 15, 24, 19, 15, 22, 10, 1, 23, 20, 24, 13, 14, 22, 15, 3, 1, 24, 10, 10, 19, 11

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 117.

Index entries for linear recurrences with constant coefficients, order 117.

Formula

a(n+117) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]

Mathematica

Mod[BellB[Range[0, 80]], 27] (* Harvey P. Dale, Dec 17 2011 *)

Prog

(Magma) [Bell(n) mod 27: n in [0..100]]; // G. C. Greubel, Feb 02 2016

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).

Cf. A054767 (periods).

Sequence in context: A116053 A146118 A290527 * A290550 A287843 A290828

Adjacent sequences: A146114 A146115 A146116 * A146118 A146119 A146120

Keyword

nonn,easy,changed

Author

N. J. A. Sloane, Feb 07 2009

Status

approved