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A099215 a(n)=4a(n-1)-4a(n-2)+3a(n-3). 2
1, 2, 4, 11, 34, 104, 313, 938, 2812, 8435, 25306, 75920, 227761, 683282, 2049844, 6149531, 18448594, 55345784, 166037353, 498112058, 1494336172, 4483008515, 13449025546, 40347076640, 121041229921, 363123689762, 1089371069284 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: (1-2x)/((1-2x)^2-3x^3); a(n)=sum{k=0..floor(n/3), binomial(n-k, 2k)3^k*2^(n-3k)}.

CROSSREFS

Cf. A099214.

Sequence in context: A052431 A076316 A082104 * A089407 A071115 A156809

Adjacent sequences:  A099212 A099213 A099214 * A099216 A099217 A099218

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 06 2004

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Last modified February 15 07:16 EST 2012. Contains 205700 sequences.