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Search: id:A060161
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| A060161 |
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2^n - 1 + 2*fibonacci(n - 1). |
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+0
2
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| 1, 5, 9, 19, 37, 73, 143, 281, 553, 1091, 2157, 4273, 8479, 16849, 33521, 66755, 133045, 265337, 529455, 1056937, 2110681, 4216195, 8424029, 16834529, 33647167, 67258913, 134460513, 268828291, 537506533, 1074770281, 2149147727, 4297659833, 8594291209
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,200
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FORMULA
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a(n)=4*a(n-1)-4*a(n-2)-a(n-3)+2*a(n-4). G.f.: -x*(1+x-7*x^2+4*x^3)/((x-1)*(2*x-1)*(x^2+x-1)) [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 07 2009]
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MAPLE
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with(combinat, fibonacci): seq(2^n - 1 + 2 * fibonacci(n - 1), n=1..10);
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PROGRAM
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(PARI) { for (n=1, 200, write("b060161.txt", n, " ", 2^n - 1 + 2*fibonacci(n - 1)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 02 2009]
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CROSSREFS
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Cf. A060160, A000045, A000079.
Sequence in context: A113805 A160722 A061202 this_sequence A082674 A102172 A011983
Adjacent sequences: A060158 A060159 A060160 this_sequence A060162 A060163 A060164
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KEYWORD
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nonn
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AUTHOR
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Pieter Gosselink (pieter_gosselink(AT)lotus.com), Mar 12 2001
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EXTENSIONS
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More terms from Asher Natan Auel (auela(AT)reed.edu), Mar 16 2001
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