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Search: id:A106174
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| A106174 |
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a(n) = 2*n*a(n-1)-a(n-2). |
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+0
4
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| 0, 1, 4, 23, 180, 1777, 21144, 294239, 4686680, 84066001, 1676633340, 36801867479, 881568186156, 22883970972577, 639869619046000, 19173204600407423, 612902677593991536, 20819517833595304801, 748889739331836981300
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Bessel recurance at x=1: J[x,n]=(2*n/x)*J[x,n-1]-J[x,n-2].
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REFERENCES
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Abramowitz and Stegun, Handbook of Mathematical Functions,9th printing,1972, page 385
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
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MATHEMATICA
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F[0] = 0; F[1] = 1; F[n_] := F[n] = 2*n*F[n - 1] - F[n - 2] a = Table[F[n], {n, 0, 25}]
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CROSSREFS
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Adjacent sequences: A106171 A106172 A106173 this_sequence A106175 A106176 A106177
Sequence in context: A067545 A004041 A089465 this_sequence A056814 A058863 A108953
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KEYWORD
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nonn
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Mar 14 2006
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