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A104771
Expansion of g.f. (1-x+x^2)/(1+x-x^3).
3
1, -2, 3, -2, 0, 3, -5, 5, -2, -3, 8, -10, 7, 1, -11, 18, -17, 6, 12, -29, 35, -23, -6, 41, -64, 58, -17, -47, 105, -122, 75, 30, -152, 227, -197, 45, 182, -379, 424, -242, -137, 561, -803, 666, -105, -698, 1364, -1469, 771, 593, -2062, 2833, -2240, 178, 2655, -4895, 5073, -2418, -2477, 7550, -9968
OFFSET
0,2
COMMENTS
A floretion-generated sequence.
Floretion Algebra Multiplication Program, FAMP Code: Define A = + .5'i + .5'j + .5'k + .5e and B = + .5'i + .5i' + .5'ii' + .5e. Then (a(n)) = jesloop(infty)-jesfor[A*B], ForType: 1A.
FORMULA
Recurrence: a(n+3) = a(n) - a(n+2); a(0) = 1, a(1) = -2, a(2) = 3.
a(n+1) - a(n) = ((-1)^(n+1))*a(n+5); a(n) = A104769(n) + A104770(n).
CROSSREFS
Sequence in context: A332921 A239579 A165192 * A307688 A056888 A286297
KEYWORD
sign,easy
AUTHOR
Creighton Dement, Mar 24 2005
EXTENSIONS
Edited by Ralf Stephan, Apr 05 2009
STATUS
approved