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A145029
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Pentanacci numbers: a(n)=a(n-1)+a(n-2)+a(n-3)+a(n-4)+a(n-5), {1,2,3,4,5...}.
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1
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1, 2, 3, 4, 5, 15, 29, 56, 109, 214, 423, 831, 1633, 3210, 6311, 12408, 24393, 47955, 94277, 185344, 364377, 716346, 1408299, 2768643, 5443009, 10700674, 21036971, 41357596, 81306893, 159845143, 314247277, 617793880, 1214550789, 2387743982
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OFFSET
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1,2
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LINKS
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FORMULA
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G.f.: x*(-1-x+2*x^3+5*x^4)/(-1+x+x^2+x^3+x^4+x^5). [Maksym Voznyy (voznyy(AT)mail.ru), Aug 12 2009]
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MATHEMATICA
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a=1; b=2; c=3; d=4; e=5; lst={a, b, c, d, e}; Do[f=a+b+c+d+e; AppendTo[lst, f]; a=b; b=c; c=d; d=e; e=f, {n, 5!}]; lst
LinearRecurrence[{1, 1, 1, 1, 1}, Range[5], 40](* Harvey P. Dale, Jun 20 2015 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009
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STATUS
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approved
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