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Search: id:A053109
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| A053109 |
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Expansion of 1/(1-10*x)^10. |
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+0
3
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| 1, 100, 5500, 220000, 7150000, 200200000, 5005000000, 114400000000, 2431000000000, 48620000000000, 923780000000000, 16796000000000000, 293930000000000000, 4974200000000000000, 81719000000000000000
(list; graph; listen)
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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*binomial(n+k-1,k-1) starting with A000012 (powers of 1), A001787(n+1), A027472(n+3), A038846, A036071, A036084, A036226, A053107-9 for k=1..10.
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FORMULA
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a(n) = 10^n*binomial(n+9, 9); G.f. 1/(1-10*x)^10.
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PROGRAM
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(Other) SAGE:[lucas_number2(n, 10, 0)*binomial(n, 9)/10 ^9 for n in xrange(9, 24)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 13 2009]
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CROSSREFS
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Sequence in context: A035745 A035810 A017763 this_sequence A151647 A065689 A117687
Adjacent sequences: A053106 A053107 A053108 this_sequence A053110 A053111 A053112
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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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