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A081109
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9th binomial transform of (1,1,0,0,0,0,0,....).
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3
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1, 10, 99, 972, 9477, 91854, 885735, 8503056, 81310473, 774840978, 7360989291, 69735688020, 659002251789, 6213449802582, 58462914051567, 549043018919064, 5147278302366225, 48178524910147866, 450283905890997363
(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)+8*m(i-1,j-1) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 13 2003
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FORMULA
| a(n)=18*a(n-1)-81*a(n-2), a(0)=1, a(1)=10. a(n)=(n+9)*9^(n-1) G.f. (1-8x)/(1-9x)^2
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CROSSREFS
| Cf. A081108, A081122.
Cf. A006234.
Sequence in context: A135927 A129542 A171315 * A004189 A179558 A179556
Adjacent sequences: A081106 A081107 A081108 * A081110 A081111 A081112
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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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