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A146094 Bell numbers (A000110) mod 4. 14
1, 1, 2, 1, 3, 0, 3, 1, 0, 3, 3, 2, 1, 1, 2, 1, 3, 0, 3, 1, 0, 3, 3, 2, 1, 1, 2, 1, 3, 0, 3, 1, 0, 3, 3, 2, 1, 1, 2, 1, 3, 0, 3, 1, 0, 3, 3, 2, 1, 1, 2, 1, 3, 0, 3, 1, 0, 3, 3, 2, 1, 1, 2, 1, 3, 0, 3, 1, 0, 3, 3, 2, 1, 1, 2, 1, 3, 0, 3, 1, 0, 3, 3, 2, 1, 1, 2, 1, 3, 0, 3, 1, 0, 3, 3, 2, 1, 1, 2, 1, 3, 0, 3, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..2500

P. Pleasants, W. Lunnon, and N. 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 (0,0,0,0,0,0,0,0,0,0,0,1).

FORMULA

a(n) = a(n-12). - Charles R Greathouse IV, Jul 06 2011

a(n) = (1/396)*(43*(n mod 12)+43*((n+1) mod 12)+10*((n+2) mod 12)-89*((n+3) mod 12)+43*((n+4) mod 12)+76*((n+5) mod 12)-89*((n+6) mod 12)+109*((n+7) mod 12)-56*((n+8) mod 12)+43*((n+9) mod 12)-23*((n+10) mod 12)+10*((n+11) mod 12)}, with n>=0. - Paolo P. Lava, Feb 13 2009

MATHEMATICA

Mod[BellB[Range[0, 50]], 4] (* G. C. Greubel, Jan 30 2016 *)

PROG

(MAGMA) [Bell(n) mod 4: n in [0..100]]; // Vincenzo Librandi, Jan 30 2016

CROSSREFS

Cf. A000110, A146093.

Sequence in context: A127472 A194665 A004563 * A098035 A079055 A122170

Adjacent sequences:  A146091 A146092 A146093 * A146095 A146096 A146097

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Feb 07 2009

STATUS

approved

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Last modified October 19 03:34 EDT 2019. Contains 328211 sequences. (Running on oeis4.)