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Search: id:A104770
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| A104770 |
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G.f. -(x^2+1)/(x^3-x-1). |
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+0
3
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| 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)
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OFFSET
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0,3
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COMMENT
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A floretion-generated sequence which may be seen as the result of a certain sequence transform applied infinitely often. For a related case, see "Generalized Sequence Convergence?" link. This sequence is one of three related sequences, the others being A104771 and A104769.
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FORMULA
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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)
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PROGRAM
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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.
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CROSSREFS
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Cf. A104769, A104771.
Sequence in context: A030399 A128763 A127597 this_sequence A110280 A061009 A104558
Adjacent sequences: A104767 A104768 A104769 this_sequence A104771 A104772 A104773
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KEYWORD
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sign,uned
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Mar 24 2005
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