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Search: id:A053113
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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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+0
4
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| 1, 55, 2200, 71500, 2002000, 50050000, 1144000000, 24310000000, 486200000000, 9237800000000, 167960000000000, 2939300000000000, 49742000000000000, 817190000000000000, 13075040000000000000, 204297500000000000000
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OFFSET
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0,2
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COMMENT
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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
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W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
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FORMULA
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a(n) = 10^(n-1)*binomial(n+10, 9); G.f. (-1+(1-10*x)^(-10))/(x*10^2).
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CROSSREFS
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Sequence in context: A166833 A004352 A163722 this_sequence A012048 A020536 A131557
Adjacent sequences: A053110 A053111 A053112 this_sequence A053114 A053115 A053116
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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