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A072264
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a(n) = 3*a(n-1) + 5*a(n-2), with a(0)=1, a(1)=1.
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7
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1, 1, 8, 29, 127, 526, 2213, 9269, 38872, 162961, 683243, 2864534, 12009817, 50352121, 211105448, 885076949, 3710758087, 15557659006, 65226767453, 273468597389, 1146539629432, 4806961875241, 20153583772883, 84495560694854, 354254600948977, 1485241606321201
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..25.
Index to sequences with linear recurrences with constant coefficients, signature (3,5).
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FORMULA
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G.f.: (1-2*x)/(1-3*x-5*x^2). - Jaume Oliver Lafont, Mar 06 2009
a(n) = (1/2)*(((3/2)+(1/2)*sqrt(29))^n+((3/2)-(1/2)*sqrt(29))^n)+(1/58)*sqrt(29)*(((3/2)-(1/2)*sqrt(29))^n-((3/2)+(1/2)*sqrt(29))^n). - Paolo P. Lava, Mar 31 2009
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EXAMPLE
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a(5)=3*a(4)+5*a(3): 127=3*29+5*8=87+40.
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PROG
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(MAGMA) [n le 2 select 1 else 3*Self(n-1)+5*Self(n-2): n in [1..26]]; // Bruno Berselli, Oct 11 2011
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CROSSREFS
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Cf. A015523, A072263, A152187, A179606, A197189.
Sequence in context: A116952 A199207 A088131 * A110527 A189946 A071931
Adjacent sequences: A072261 A072262 A072263 * A072265 A072266 A072267
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KEYWORD
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nonn,easy
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AUTHOR
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Miklos Kristof, Jul 08 2002
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EXTENSIONS
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Offset changed and more terms by Bruno Berselli, Oct 11 2011
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STATUS
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approved
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