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Search: id:A139748
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| A139748 |
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Sum_{ k >= 0} binomial(n,5*k+3). |
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+0
4
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| 0, 0, 0, 1, 4, 10, 20, 35, 57, 93, 165, 330, 715, 1574, 3381, 6995, 13990, 27370, 53143, 103702, 204820, 409640, 826045, 1669801, 3368259, 6765175, 13530350, 26985675, 53774932, 107232053, 214146295, 428292590, 857417220, 1717012749, 3437550076
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 14 2009: (Start)
M^n * [1,0,0,0,0] = [A139398(n), A139761(n), a(n), A139714(n), A133476(n)]
where M = a 5x5 matrix [1,1,0,0,0; 0,1,1,0,0; 0,0,1,1,0; 0,0,0,1,1; 1,0,0,0,1]
Sum of terms = 2^n. Example: M^6 * [1,0,0,0,0] = [7, 15, 20, 15, 7]; sum = 64. (End)
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FORMULA
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G.f.:x^3*(x-1)/((2*x-1)*(x^4-2*x^3+4*x^2-3*x+1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 12 2009]
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CROSSREFS
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Sequence in context: A038419 A057319 A034223 this_sequence A137359 A134987 A058539
Adjacent sequences: A139745 A139746 A139747 this_sequence A139749 A139750 A139751
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jun 13 2008
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