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Search: id:A136408
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| A136408 |
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a(n)=3a(n-1)-4a(n-2)+6a(n-3)-4a(n-4). |
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+0
2
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| 1, 2, 4, 7, 13, 27, 55, 107, 211, 427, 859, 1707, 3403, 6827, 13675, 27307, 54571, 109227, 218539, 436907, 873643, 1747627, 3495595, 6990507, 13980331, 27962027, 55925419, 111848107, 223693483, 447392427, 894790315, 1789569707, 3579128491
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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O.g.f.: -(-1+x-2x^2+3x^3)/[(x-1)(2x-1)(2x^2+1)]. a(n)=5*2^n/6+1/3-A077966(n)/6. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 04 2008
a(n)=(1/3)+(5/6)*2^n-(1/12)*[I*sqrt(2)]^n-(1/12)*[ -I*sqrt(2)]^n, with n>0= and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jun 09 2008
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CROSSREFS
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Adjacent sequences: A136405 A136406 A136407 this_sequence A136409 A136410 A136411
Sequence in context: A023431 A025246 A112740 this_sequence A103104 A103480 A024826
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Mar 31 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 04 2008
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