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Search: id:A098590
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A098590 a(n)=4a(n-1)+a(n-4). +0
1
1, 4, 16, 64, 257, 1032, 4144, 16640, 66817, 268300, 1077344, 4326016, 17370881, 69751824, 280084640, 1124664576, 4516029185, 18133868564, 72815558896, 292386900160, 1174063629825, 4714388387864, 18930369110352, 76013863341568 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: 1/(1-4x-x^4); a(n)=sum{k=0..floor(n/3), binomial(n-3k, k)4^(n-4k)}.

MAPLE

K:=1/(1+4*z-z^4): Kser:=series(K, z=0, 30): seq(abs(coeff(Kser, z, n)), n= 0..23); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 08 2007

MATHEMATICA

CoefficientList[Series[x/(1 - 4*x - x^4), {x, 0, 25}], x] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 29 2007

CROSSREFS

Cf. A052541.

Sequence in context: A083592 A069029 A083589 this_sequence A071357 A142872 A113995

Adjacent sequences: A098587 A098588 A098589 this_sequence A098591 A098592 A098593

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Sep 16 2004

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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