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Search: id:A147629
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| A147629 |
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9-factorial numbers (4). |
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+0
5
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| 1, 5, 70, 1610, 51520, 2112320, 105616000, 6231344000, 423731392000, 32627317184000, 2805949277824000, 266565181393280000, 27722778864901120000, 3132674011733826560000, 382186229431526840320000
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n+1)=Sum_{k, 0<=k<=n}A132393(n,k)*5^k*9^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 09 2008]
a(n)=a(n-1)+(4+9(n-2))*a(n-1) = (9n-13)*a(n-1) = 9^(n-1)*Gamma(n-4/9)/Gamma(5/9). G.f.: z*2F0(5/9,1;;9z) [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 09 2008]
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MAPLE
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s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 4, 2*5!, 9}]; lst
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CROSSREFS
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Cf. A049211, A051232, A045756, A035012, A035013, A035017, A035018, A035020, A035022, A035023, A053116
Sequence in context: A151471 A077691 A014231 this_sequence A135438 A015502 A101019
Adjacent sequences: A147626 A147627 A147628 this_sequence A147630 A147631 A147632
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008
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