A146108 Bell numbers (A000110) read mod 18.

1, 1, 2, 5, 15, 16, 5, 13, 0, 15, 1, 6, 13, 1, 16, 5, 5, 0, 13, 5, 10, 15, 15, 10, 15, 13, 10, 1, 5, 2, 15, 13, 14, 13, 15, 12, 1, 15, 10, 1, 1, 2, 5, 15, 16, 5, 13, 0, 15, 1, 6, 13, 1, 16, 5, 5, 0, 13, 5, 10, 15, 15, 10, 15, 13, 10, 1, 5, 2, 15, 13, 14, 13, 15, 12, 1, 15, 10, 1, 1, 2, 5, 15

Offset

0,3

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000 [b-file restored by Georg Fischer, Jul 25 2020]

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 39.

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, Feb 01 2016 [See A054767. - Jianing Song, Jun 20 2025]

Mathematica

Mod[BellB[Range[0, 90]], 18] (* Harvey P. Dale, Apr 27 2013 *)

Prog

(Magma) [Bell(n) mod 18: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016
(PARI) a(n)=0x6d02821a5946a9b5bae921a57942532596a3e426\17^(n%39)%17 \\ Charles R Greathouse IV, Jun 04 2026

Crossrefs

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

Cf. A054767 (periods).

Sequence in context: A336385 A146109 A389432 * A032841 A058221 A349734

Adjacent sequences: A146105 A146106 A146107 * A146109 A146110 A146111

Keyword

nonn,easy

Author

N. J. A. Sloane, Feb 07 2009

Status

approved