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A146094
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Bell numbers (A000110) mod 4.
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9
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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; internal format)
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OFFSET
| 0,3
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LINKS
| 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 to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,1).
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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 [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 13 2009]
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CROSSREFS
| Sequence in context: A127472 A194665 A004563 * A098035 A079055 A122170
Adjacent sequences: A146091 A146092 A146093 * A146095 A146096 A146097
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 07 2009
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