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A139761
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Sum_{ k >= 0} binomial(n,5*k+4).
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6
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0, 0, 0, 0, 1, 5, 15, 35, 70, 127, 220, 385, 715, 1430, 3004, 6385, 13380, 27370, 54740, 107883, 211585, 416405, 826045, 1652090, 3321891, 6690150, 13455325, 26985675, 53971350, 107746282, 214978335, 429124630, 857417220, 1714834440, 3431847189
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (5,-10,10,-5,2).
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FORMULA
| a(n)=5a(n-1)-10a(n-2)+10a(n-3)-5a(n-4)+2a(n-5). Sequence is identical to its fifth differences. Differences of A139398. Same recurrence holds for differences. Binomial transform of period 5: repeat 0, 0, 0, 0, 1 = A079998(n+1). - Paul Curtz (bpcrtz(AT)free.fr), Jun 18 2008
G.f.:-x^4/((2*x-1)*(x^4-2*x^3+4*x^2-3*x+1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 12 2009]
a(n) = A049016(n-4). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 08 2010]
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CROSSREFS
| Sequence in context: A000332 A140227 A049016 * A137360 A195760 A195761
Adjacent sequences: A139758 A139759 A139760 * A139762 A139763 A139764
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 13 2008
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