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Search: id:A053487
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| A053487 |
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E.g.f.: exp(4x)/(1-x). |
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+0
11
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| 1, 5, 26, 142, 824, 5144, 34960, 261104, 2154368, 19651456, 197563136, 2177388800, 26145442816, 339957865472, 4759678552064, 71396252022784, 1142344327331840, 19419870744510464, 349557742120665088, 6641597375170543616, 132831948602922500096
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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J. W. Layman, The Hankel Transform and Some of its Properties, J. Integer Sequences, 4 (2001), #01.1.5.
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FORMULA
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a(n) is the permanent of the n X n matrix with 5's on the diagonal and 1's elsewhere. a(n) = Sum(k=0..n, A008290(n, k)*5^k) . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Dec 12 2003
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MAPLE
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restart:F(x):=exp(4*x)/(1-x): f[0]:=F(x): for n from 1 to 20 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=0..20); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2009]
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CROSSREFS
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Sequence in context: A081187 A104498 A045379 this_sequence A082029 A001705 A081047
Adjacent sequences: A053484 A053485 A053486 this_sequence A053488 A053489 A053490
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 15 2000
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