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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
OFFSET
0,3
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: A256001 A131665 A363610 * A363644 A363652 A368586
KEYWORD
nonn
AUTHOR
Paul Curtz, Nov 02 2007
STATUS
approved