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A053113
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Expansion of (-1+1/(1-10*x)^10)/(100*x); related to A053109.
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3
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1, 55, 2200, 71500, 2002000, 50050000, 1144000000, 24310000000, 486200000000, 9237800000000, 167960000000000, 2939300000000000, 49742000000000000, 817190000000000000, 13075040000000000000, 204297500000000000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| This is the tenth member of the k-family of sequences a(k,n) := k^(n-1)*binomial(n+k,k-1) starting with A000012 (powers of 1), A001792, A036068, A036070, A036083, A036224, A053110-113 for k=1..10.
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LINKS
| W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
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FORMULA
| a(n) = 10^(n-1)*binomial(n+10, 9); G.f. (-1+(1-10*x)^(-10))/(x*10^2).
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CROSSREFS
| Sequence in context: A166833 A004352 A163722 * A012048 A020536 A131557
Adjacent sequences: A053110 A053111 A053112 * A053114 A053115 A053116
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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