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A081107
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7th binomial transform of (1,1,0,0,0,0,.......).
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2
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1, 8, 63, 490, 3773, 28812, 218491, 1647086, 12353145, 92236816, 686011319, 5084554482, 37569208117, 276825744020, 2034669218547, 14920907602678, 109193914728689, 797590333670424, 5815762849680175, 42338753545671674
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
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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
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CROSSREFS
| Cf. A081106, A081108.
Cf. A006234.
Sequence in context: A178392 A085433 A171313 * A164592 A001090 A105219
Adjacent sequences: A081104 A081105 A081106 * A081108 A081109 A081110
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 07 2003
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