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Search: id:A079773
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| A079773 |
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a(n)=2a(n-1)+15a(n-2), a(0)=0, a(1)=1. |
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+0
6
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| 0, 1, 2, 19, 68, 421, 1862, 10039, 48008, 246601, 1213322, 6125659, 30451148, 152787181, 762341582, 3816490879, 19068105488, 95383574161, 476788730642, 2384331073699, 11920493107028, 59605952319541, 298019301244502
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f.: x/((1+3x)(1-5x)); a(n) = (5^n-(-3)^n)/8; a(n) = Sum{k=1..n, binomial(n, 2k-1)4^(2(k-1))}
E.g.f.: exp(x)sinh(4x)/4. - Paul Barry (pbarry(AT)wit.ie), Jul 09 2003
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PROGRAM
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(Other) sage: [lucas_number1(n, 2, -15) for n in xrange(0, 23)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
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CROSSREFS
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Cf. A051958, A015441.
Sequence in context: A125201 A140544 A042149 this_sequence A024220 A024389 A110050
Adjacent sequences: A079770 A079771 A079772 this_sequence A079774 A079775 A079776
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 20 2003
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