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Search: id:A161729
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| A161729 |
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a(n) = ((4+sqrt(3))*(8+2*sqrt(3))^n-(4-sqrt(3))*(8-2*sqrt(3))^n)/(2*sqrt(3)). |
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+0
2
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| 1, 16, 204, 2432, 28304, 326400, 3750592, 43036672, 493555968, 5658988544, 64878906368, 743795097600, 8527018430464, 97754949812224, 1120674238611456, 12847530427547648, 147285426432966656, 1688495240694988800
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Eighth binomial transform of A162466.
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FORMULA
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a(n) = 16*a(n-1)-52(n-2) for n > 1; a(0) = 1, a(1) = 16.
G.f.: 1/(1-16*x+52*x^2). [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 19 2009]
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PROGRAM
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(PARI) {default(debug, 0); F=nfinit(x^2-3); for(n=0, 17, print1(nfeltdiv(F, ((4+x)*(8+2*x)^n-(4-x)*(8-2*x)^n), (2*x))[1], ", "))} [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 19 2009]
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CROSSREFS
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Cf. A162466.
Sequence in context: A001810 A016165 A144632 this_sequence A157707 A016217 A055758
Adjacent sequences: A161726 A161727 A161728 this_sequence A161730 A161731 A161732
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KEYWORD
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nonn
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AUTHOR
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Al Hakanson (hawkuu(AT)gmail.com), Jun 17 2009
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EXTENSIONS
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Extended beyond a(5) by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 19 2009
Edited by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 05 2009
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