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A012772 Take every 5th term of Padovan sequence A000931, beginning with the sixth term. 2
1, 3, 12, 49, 200, 816, 3329, 13581, 55405, 226030, 922111, 3761840, 15346786, 62608681, 255418101, 1042002567, 4250949112, 17342153393, 70748973084, 288627200960, 1177482265857, 4803651498529, 19596955630177 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5, -4, 1).

FORMULA

a(n+3) = 5*a(n+2) - 4*a(n+1) + a(n).

G.f.: (1-x)^2/(1-5*x+4*x^2-x^3). - Colin Barker, Feb 02 2012

MATHEMATICA

CoefficientList[Series[(1-x)^2/(1-5*x+4*x^2-x^3), {x, 0, 33}], x] (* Vincenzo Librandi, Apr 18 2012 *)

PROG

(MAGMA) I:=[1, 3, 12]; [n le 3 select I[n] else 5*Self(n-1)-4*Self(n-2)+Self(n-3): n in [1..30]]; // Vincenzo Librandi, Apr 18 2012

CROSSREFS

Sequence in context: A248347 A037758 A037646 * A012864 A045890 A049673

Adjacent sequences:  A012769 A012770 A012771 * A012773 A012774 A012775

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 30 16:09 EST 2021. Contains 349422 sequences. (Running on oeis4.)