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Search: id:A080043
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A080043 a(n)=floor((2+sqrt(7))^n). +0
1
1, 4, 21, 100, 465, 2164, 10053, 46708, 216993, 1008100, 4683381, 21757828, 101081457, 469599316, 2181641637, 10135364500, 47086382913, 218751625156, 1016265649365, 4721317472932, 21934066839825, 101900219778100 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: g(t)=(1+t^2+4t^3)/(1-4t-4t^2+4t^3+3t^4) a(n)=A080042(n)-(1+(-1)^n)/2

MATHEMATICA

CoefficientList[Series[(1+t^2+4t^3)/(1-4t-4t^2+4t^3+3t^4), {t, 0, 25}], t]

CROSSREFS

Sequence in context: A134424 A017967 A076901 this_sequence A113022 A014986 A015531

Adjacent sequences: A080040 A080041 A080042 this_sequence A080044 A080045 A080046

KEYWORD

easy,nonn

AUTHOR

Mario Catalani (mario.catalani(AT)unito.it), Jan 21 2003

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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