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A083425 (5*5^n+(-1)^n)/6. +0
4
1, 4, 21, 104, 521, 2604, 13021, 65104, 325521, 1627604, 8138021, 40690104, 203450521, 1017252604, 5086263021, 25431315104, 127156575521, 635782877604, 3178914388021, 15894571940104, 79472859700521, 397364298502604 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of A083424 Inverse binomial transform of A052934

FORMULA

a(n)=(5*5^n+(-1)^n)/6 G.f. 1/((1-x)(1+4x)) E.g.f. (5exp(5x)+exp(-x))/6

a(n)=sum{k=0..n, binomial(n-k, k)4^(n-2k)5^k} - Paul Barry (pbarry(AT)wit.ie), Jul 29 2004

a(n)=A015531(n+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2008]

CROSSREFS

Sequence in context: A113022 A014986 A015531 this_sequence A100237 A117381 A010908

Adjacent sequences: A083422 A083423 A083424 this_sequence A083426 A083427 A083428

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 30 2003

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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