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Search: id:A080041
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A080041 a(n)=floor((1+sqrt(3))^n). +0
1
1, 2, 7, 20, 55, 152, 415, 1136, 3103, 8480, 23167, 63296, 172927, 472448, 1290751, 3526400, 9634303, 26321408, 71911423, 196465664, 536754175, 1466439680, 4006387711, 10945654784, 29904084991, 81699479552, 223207129087 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n)=A080040(n)-(1+(-1)^n)/2

FORMULA

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

MATHEMATICA

CoefficientList[Series[(1+2t^3)/(1-2t-3t^2+2t^3+2t^4), {t, 0, 30}], t]

CROSSREFS

Sequence in context: A035508 A018033 A000149 this_sequence A049681 A027120 A094982

Adjacent sequences: A080038 A080039 A080040 this_sequence A080042 A080043 A080044

KEYWORD

easy,nonn

AUTHOR

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

page 1

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.


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