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Search: id:A095740
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| A095740 |
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E.g.f.: exp(x)/(1-x)^9. |
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+0
1
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| 1, 10, 109, 1288, 16417, 224686, 3288205, 51263164, 848456353, 14862109042, 274743964621, 5346258202000, 109249238631169, 2339328151461718, 52384307381414317, 1224472783033479556, 29826054965115774145
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OFFSET
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0,2
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COMMENT
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a(n) = Sum_{k = 0..n} A094816(n,k)*x^k gives A000522(n), A001339(n), A082030(n), A095000(n), A095177(n), A096307(n), A096341(n), A095722(n) for x = 1, 2, 3, 4, 5, 6, 7, 8.
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FORMULA
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a(n) = Sum_{k = 0..n} A094816(n, k)*9^k.
a(n) = Sum_{k = 0..n} binomial(n, k)*(k+8)!/8!.
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CROSSREFS
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Sequence in context: A015591 A078922 A082181 this_sequence A075508 A095176 A061749
Adjacent sequences: A095737 A095738 A095739 this_sequence A095741 A095742 A095743
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KEYWORD
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nonn
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AUTHOR
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DELEHAM Philippe (kolotoko(AT)wanadoo.fr) Jul 09 2004
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