

A132158


a(3n+k) = 3a(3n+k1)3a(3n+k2)+2a(3n+k3) for k = 0,1; a(3n+2) = 3a(3n1)3a(3n2), 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
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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^2x+1)*(5*x^31)) [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



