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A081040 5th binomial transform of (1,4,0,0,0,0,....). 3
1, 9, 65, 425, 2625, 15625, 90625, 515625, 2890625, 16015625, 87890625, 478515625, 2587890625, 13916015625, 74462890625, 396728515625, 2105712890625, 11138916015625, 58746337890625, 308990478515625, 1621246337890625 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)=10*a(n-1)-25*a(n-2), a(0)=1, a(1)=9. a(n)=(4n+5)5^(n-1) a(n)= Sum {k=0..n, (k+1)*4^k Binomial(n, k)} G.f.: (1-x)/(1-5x)^2

CROSSREFS

Cf. A081039, A081041.

Sequence in context: A076287 A020299 A055284 * A102902 A127534 A037548

Adjacent sequences:  A081037 A081038 A081039 * A081041 A081042 A081043

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 03 2003

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Last modified February 16 14:07 EST 2012. Contains 205930 sequences.