A202207 - OEIS

A202207

a(n) = 3*a(n-1) - a(n-2) + a(n-3) with a(0)=1, a(1)=2, a(2)=5.

1, 2, 5, 14, 39, 108, 299, 828, 2293, 6350, 17585, 48698, 134859, 373464, 1034231, 2864088, 7931497, 21964634, 60826493, 168446342, 466477167, 1291811652, 3577404131, 9906877908, 27435041245, 75975649958, 210398786537

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OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (3,-1,1).

FORMULA

G.f.: (1-x)/(1-3*x+x^2-x^3).

a(n) = A200752(n+3) - A200752(n+2). - R. J. Mathar, Dec 15 2011

PROG

(PARI) my(x='x+O('x^40)); Vec((1-x)/(1-3*x+x^2-x^3)) \\ Michel Marcus, Apr 10 2024

CROSSREFS

Cf. A200752.

Sequence in context: A141752 A291729 A142586 * A132834 A000641 A368672

Adjacent sequences: A202204 A202205 A202206 * A202208 A202209 A202210

KEYWORD

easy,nonn

AUTHOR

Philippe Deléham, Dec 14 2011

STATUS

approved