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A081105 5th Binomial transform of (1,1,0,0,0,0,.....). +0
5
1, 6, 35, 200, 1125, 6250, 34375, 187500, 1015625, 5468750, 29296875, 156250000, 830078125, 4394531250, 23193359375, 122070312500, 640869140625, 3356933593750, 17547607421875, 91552734375000, 476837158203125 (list; graph; listen)
OFFSET

0,2

COMMENT

Main diagonal of array defined by m(1,j)=j; m(i,1)=i and m(i,j)=m(i-1,j)+4*m(i-1,j-1) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 13 2003

FORMULA

a(n) =10*a(n-1)-25*a(n-2), a(0)=1, a(1)=6. a(n)=(n+5)*5^(n-1) G.f.: (1-4x)/(1-5x)^2

a(n) = A079027(n), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 18 2008]

CROSSREFS

Cf. A001792, A006234, A092288.

Cf. A006234.

Sequence in context: A026934 A131435 A079027 this_sequence A161727 A121838 A001109

Adjacent sequences: A081102 A081103 A081104 this_sequence A081106 A081107 A081108

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 07 2003

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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