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Search: id:A070782
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| A070782 |
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Sum(binomial(5*n,5*k),k=0..n). |
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+0
4
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| 1, 2, 254, 6008, 215766, 6643782, 215492564, 6863694378, 219993856006, 7035859329512, 225191238869774, 7205634556190798, 230585685502492596, 7378682274243863442, 236118494435702913134, 7555784484021765207768
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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1/5*32^n+2/5*(-11/2+5/2*sqrt(5))^n+2/5*(-11/2-5/2*sqrt(5))^n
Let b(n)=a(n)-2^(5n)/5 then b(n)+11*b(n-1)-b(n-2)=0 - Benoit Cloitre (benoit7848c(AT)orange.fr), May 27 2004
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PROGRAM
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(PARI) a(n)=sum(k=0, n, binomial(5*n, 5*k))
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CROSSREFS
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Sequence in context: A109118 A034313 A144797 this_sequence A078167 A004875 A067480
Adjacent sequences: A070779 A070780 A070781 this_sequence A070783 A070784 A070785
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KEYWORD
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easy,nonn
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AUTHOR
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Sebastian Gutierrez and Sarah Kolitz (skolitz(AT)mit.edu), May 15 2002
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