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Search: id:A081674
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| A081674 |
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Generalized Poly-Bernoulli numbers. |
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+0
3
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| 0, 1, 6, 29, 130, 561, 2366, 9829, 40410, 164921, 669526, 2707629, 10919090, 43942081, 176565486, 708653429, 2841788170, 11388676041, 45619274246, 182670807229, 731264359650, 2926800830801, 11712433499806, 46865424529029
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OFFSET
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0,3
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COMMENT
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Binomial transform of A027649. Inverse binomial transform of A081675
With offset 1, partial sums of A085350. - Paul Barry (pbarry(AT)wit.ie), Jun 24 2003
Number of walks of length 2n+2 between two nodes at distance 4 in the cycle graph C_12. - Herbert Kociemba (kociemba(AT)t-online.de), Jul 05 2004
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FORMULA
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a(n)=((4^(n+1)-1)/3-3^n)/2 = (4*4^n-3*3^n-1)/6 a(n)=(A002450(n+1)+A000244(n))/2 G.f. x(1-2x)/((1-x)(1-3x)(1-4x))
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CROSSREFS
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Sequence in context: A111644 A081278 A054146 this_sequence A008549 A026675 A026873
Adjacent sequences: A081671 A081672 A081673 this_sequence A081675 A081676 A081677
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 28 2003
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