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A130978
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G.f. : 12/(5+7*sqrt(1-24*x)).
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5
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1, 7, 91, 1435, 24955, 460747, 8859739, 175466347, 3553964155, 73266506635, 1532152991131, 32420721097387, 692865048943291, 14932919812627915, 324195908270339035, 7083228794200550635
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Number of walks of length 2n on the 7-regular tree beginning and ending at some fixed vertex. Hankel transform is A135314. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 25 2009]
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FORMULA
| a(n) = Sum{k, 0<=k<=n}A039599(n,k)*6^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 25 2007
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MAPLE
| g:=12/(5+7*sqrt(1-24*x)); gser:=series(g, x=0, 20); seq(coeff(gser, x, n), n=0..15); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 26 2007
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CROSSREFS
| Sequence in context: A165230 A156712 A004368 * A191097 A133307 A151833
Adjacent sequences: A130975 A130976 A130977 * A130979 A130980 A130981
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KEYWORD
| nonn
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 23 2007
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 26 2007
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