A104771 Expansion of g.f. (1-x+x^2)/(1+x-x^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

Author

Creighton Dement, Mar 24 2005

Keywords

• sign
• easy

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.

Links

• Index entries for linear recurrences with constant coefficients, signature (-1,0,1).

Crossrefs

Cf. A104769, A104770.

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).

Extensions

Edited by Ralf Stephan, Apr 05 2009