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A132158 a(3n+k) = 3a(3n+k-1)-3a(3n+k-2)+2a(3n+k-3) for k = 0,1; a(3n+2) = 3a(3n-1)-3a(3n-2), with a(0) = 0,a(1) = 1,a(2) = 3. 1
0, 1, 3, 6, 11, 15, 24, 49, 75, 126, 251, 375, 624, 1249, 1875, 3126, 6251, 9375 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

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

FORMULA

Sequence is identical to its third differences in absolute values.

G.f.:-x*(x+1)*(3*x^2+x+1)/((x^2-x+1)*(5*x^3-1)) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 12 2009]

MATHEMATICA

LinearRecurrence[{1, -1, 5, -5, 5}, {0, 1, 3, 6, 11}, 18] (* Ray Chandler, Sep 23 2015 *)

CROSSREFS

Sequence in context: A059753 A256001 A131665 * A181947 A310101 A310102

Adjacent sequences:  A132155 A132156 A132157 * A132159 A132160 A132161

KEYWORD

nonn

AUTHOR

Paul Curtz, Nov 02 2007

STATUS

approved

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Last modified November 27 16:35 EST 2021. Contains 349394 sequences. (Running on oeis4.)