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A099159 (L(n-2)+2*3^n)/5. 3
1, 1, 4, 11, 33, 98, 293, 877, 2628, 7879, 23629, 70874, 212601, 637769, 1913252, 5739667, 17218857, 51656338, 154968637, 464905301, 1394714916, 4184143151, 12552426869, 37657276426, 112971822513, 338915456593, 1016746352068 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Binomial transform of A052964.

LINKS

Table of n, a(n) for n=0..26.

Index entries for linear recurrences with constant coefficients, signature (4,-2,-3).

FORMULA

G.f.: (1-3x+2x^2)/((1-3x)(1-x-x^2)); a(n)=((1+sqrt(5))/2)^n(3/10-sqrt(5)/10)+((1-sqrt(5))/2)^n(3/10+sqrt(5)/10)+3^n*2/5; a(n)=sum{k=0..n, (-2*0^k-Fib(k-4))3^(n-k)}.

a(n) = A101220(1, 3, n+1) - A101220(1, 3, n). - Ross La Haye, Aug 05 2005

a(n) = A098703(n+1) - A098703(n). - Ross La Haye, Sep 11 2005

CROSSREFS

Sequence in context: A289973 A236583 A282990 * A116394 A259442 A127154

Adjacent sequences:  A099156 A099157 A099158 * A099160 A099161 A099162

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Oct 01 2004

STATUS

approved

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Last modified December 12 07:45 EST 2018. Contains 318053 sequences. (Running on oeis4.)