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A070782 Sum(binomial(5*n,5*k),k=0..n). 6
1, 2, 254, 6008, 215766, 6643782, 215492564, 6863694378, 219993856006, 7035859329512, 225191238869774, 7205634556190798, 230585685502492596, 7378682274243863442, 236118494435702913134, 7555784484021765207768 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..15.

FORMULA

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, May 27 2004

PROG

(PARI) a(n)=sum(k=0, n, binomial(5*n, 5*k))

CROSSREFS

Sequence in context: A109118 A034313 A177320 * A078167 A004875 A067480

Adjacent sequences:  A070779 A070780 A070781 * A070783 A070784 A070785

KEYWORD

easy,nonn

AUTHOR

Sebastian Gutierrez and Sarah Kolitz (skolitz(AT)mit.edu), May 15 2002

STATUS

approved

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Last modified June 17 23:56 EDT 2013. Contains 226327 sequences.