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A049016
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Expansion of 1/((1-x)^5-x^5).
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8
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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
| 0,2
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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
| G.f.: 1/((1-x)^5-x^5) = 1 / ( (1-2*x)*(x^4-2*x^3+4*x^2-3*x+1) ).
a(10n+3)=A078789(5n+3), a(10n+5)=A078789(5n+4). a(n)=(-1)^n A000750(n).
Binomial transform of expansion of (1+x)^4/(1-x^5), or (1, 4, 6, 4, 1, 1, 4, 6, 4, 1, ...) - Paul Barry (pbarry(AT)wit.ie), Mar 19 2004
a(n)=5a(n-1)-10a(n-2)+10a(n-3)-5a(n-4)+2a(n-5). - Paul Curtz (bpcrtz(AT)free.fr), May 24 2008
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CROSSREFS
| Cf. A000750, A078789.
Sequence in context: A000332 A140227 * A139761 A137360 A195760 A195761
Adjacent sequences: A049013 A049014 A049015 * A049017 A049018 A049019
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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