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A081655 2*5^n-1. 21
1, 9, 49, 249, 1249, 6249, 31249, 156249, 781249, 3906249, 19531249, 97656249, 488281249, 2441406249, 12207031249, 61035156249, 305175781249, 1525878906249, 7629394531249, 38146972656249, 190734863281249 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A081654. Inverse binomial transform of A081656.

FORMULA

G.f.: (1+3x)/((1-5x)(1-x)) E.g.f. 2exp(5x)-exp(x)

a(n)=5*a(n-1)+4 with a(0)=1 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 01 2010]

EXAMPLE

For n=1, a(1)=5*1+4=9; n=2, a(2)=5*9+4=49, n=3, a(3)=5*49+4=249 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 01 2010]

CROSSREFS

Sequence in context: A080026 A060867 A192814 * A146798 A055428 A012231

Adjacent sequences:  A081652 A081653 A081654 * A081656 A081657 A081658

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 26 2003

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Last modified February 15 07:38 EST 2012. Contains 205713 sequences.