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A104770 G.f. (1+x^2)/(1+x-x^3). +0
3
1, -1, 2, -1, 0, 2, -3, 3, -1, -2, 5, -6, 4, 1, -7, 11, -10, 3, 8, -18, 21, -13, -5, 26, -39, 34, -8, -31, 65, -73, 42, 23, -96, 138, -115, 19, 119, -234, 253, -134, -100, 353, -487, 387, -34, -453, 840, -874, 421, 419, -1293, 1714, -1295, 2, 1712, -3007, 3009, -1297, -1710, 4719, -6016 (list; graph; listen)
OFFSET

0,3

COMMENT

A floretion-generated sequence.

LINKS

Index entries for sequences related to linear recurrences with constant coefficients

FORMULA

Recurrence: a(n+3) = a(n) - a(n+2); a(0) = 1, a(1) = -1, a(2) = 2.

a(n+1) - a(n) = ((-1)^(n+1))*a(n+5); a(n) = A104771(n) - A104769(n).

a(n+1) = -[A104769(n) + A104769(n+2)], n>=0. -- R. Stephan

PROGRAM

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)-jesleftfor[A*B], ForType: 1A.

CROSSREFS

Sequence in context: A128763 A127597 A167749 this_sequence A110280 A061009 A144106

Adjacent sequences: A104767 A104768 A104769 this_sequence A104771 A104772 A104773

KEYWORD

sign

AUTHOR

Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Mar 24 2005

EXTENSIONS

Edited by Ralf Stephan, Apr 05 2009

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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