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Search: id:A156195
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| A156195 |
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a(2n+2)=6*a(2n+1), a(2n+1)=6*a(2n)-5^n*A000108(n), a(0)=1 . |
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+0 6
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| 1, 5, 30, 175, 1050, 6250, 37500, 224375, 1346250, 48412500, 290343750, 1742062500, 10450312500, 62701875000, 376177734375, 2257066406250, 13541839843750, 81251039062500, 487496738281250, 2924980429687500
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Hankel transform is 5^C(n+1,2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 05 2009]
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FORMULA
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a(n)=sum{k=0..n, A120730(n,k)*5^k}.
G.f.: (sqrt(1-20x^2)+10x-1)/(10x*(1-6x)). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 05 2009]
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CROSSREFS
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Cf. A000108, A156058, A001405, A151281, A151162, A151254
Sequence in context: A084158 A111469 A057088 this_sequence A105481 A094167 A051738
Adjacent sequences: A156192 A156193 A156194 this_sequence A156196 A156197 A156198
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 05 2009
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