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Search: id:A104771
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| A104771 |
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G.f. -(x^2-x+1)/(x^3-x-1). |
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+0
3
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| 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
(list; graph; listen)
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OFFSET
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0,2
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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 A104770 and A104769.
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FORMULA
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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)
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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)-jesfor[A*B], ForType: 1A.
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CROSSREFS
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Cf. A104769, A104770.
Adjacent sequences: A104768 A104769 A104770 this_sequence A104772 A104773 A104774
Sequence in context: A021435 A007325 A056619 this_sequence A056888 A111182 A079677
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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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