A146106 Bell numbers (A000110) read mod 16.

1, 1, 2, 5, 15, 4, 11, 13, 12, 11, 7, 10, 13, 5, 10, 1, 3, 12, 15, 1, 12, 15, 11, 10, 9, 9, 2, 13, 7, 4, 3, 5, 12, 3, 15, 10, 5, 13, 10, 9, 11, 12, 7, 9, 12, 7, 3, 10, 1, 1, 2, 5, 15, 4, 11, 13, 12, 11, 7, 10, 13, 5, 10, 1, 3, 12, 15, 1, 12, 15, 11, 10, 9, 9, 2, 13, 7, 4, 3, 5, 12, 3, 15, 10, 5

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 48.

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

Formula

a(n+48) = a(n). - G. C. Greubel, Feb 01 2016 [See A054767. - Jianing Song, Jun 20 2025]

Mathematica

Mod[BellB[Range[0, 100]], 16] (* G. C. Greubel, Feb 01 2016 *)

Prog

(Magma) [Bell(n) mod 16: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016
(PARI) a(n)=0xa37c97cb9ad5af3c5347d299abfc1fc31a5da7bcdb4f5211\16^(n%48)%16 \\ Charles R Greathouse IV, Jun 03 2026

Crossrefs

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

Cf. A054767 (periods).

Sequence in context: A146107 A146115 A146114 * A146113 A146112 A146111

Adjacent sequences: A146103 A146104 A146105 * A146107 A146108 A146109

Keyword

nonn,easy,changed

Author

N. J. A. Sloane, Feb 07 2009

Status

approved