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A081107 7th binomial transform of (1,1,0,0,0,0,.......). +0
3
1, 8, 63, 490, 3773, 28812, 218491, 1647086, 12353145, 92236816, 686011319, 5084554482, 37569208117, 276825744020, 2034669218547, 14920907602678, 109193914728689, 797590333670424, 5815762849680175, 42338753545671674 (list; graph; listen)
OFFSET

0,2

COMMENT

Main diagonal of array defined by m(0,j)=j; m(i,0)=i and m(i,j)=m(i-1,j)+6*m(i-1,j-1) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 13 2003

FORMULA

a(n)=14*a(n-1)-49*a(n-2), a(0)=1, a(1)=8. a(n)=(n+7)*7^(n-1) G.f.: (1-6x)/(1-7x)^2

CROSSREFS

Cf. A081106, A081108.

Cf. A006234.

Sequence in context: A080270 A085433 A171313 this_sequence A164592 A001090 A105219

Adjacent sequences: A081104 A081105 A081106 this_sequence A081108 A081109 A081110

KEYWORD

easy,nonn

AUTHOR

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

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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