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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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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| 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 (paoloplava(AT)gmail.com), Jun 09 2008
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CROSSREFS
| Sequence in context: A023431 A025246 A112740 * A103104 A103480 A024826
Adjacent sequences: A136405 A136406 A136407 * A136409 A136410 A136411
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KEYWORD
| nonn
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AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Mar 31 2008
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 04 2008
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