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Search: id:A049016
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| A049016 |
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Expansion of 1/((1-x)^5-x^5). |
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+0
7
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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; listen)
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OFFSET
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0,2
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FORMULA
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G.f.: 1/((1-x)^5-x^5).
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
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Cf. A000750, A078789.
Sequence in context: A090580 A000332 A140227 this_sequence A139761 A137360 A100355
Adjacent sequences: A049013 A049014 A049015 this_sequence A049017 A049018 A049019
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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