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Search: id:A109731
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| A109731 |
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a(n) = - 4*a(n-2) - a(n-4), a(0) = 1, a(1) = -4, a(2) = -6, a(3) = 15. |
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+0
1
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| 1, -4, -6, 15, 23, -56, -86, 209, 321, -780, -1198, 2911, 4471, -10864, -16686, 40545, 62273, -151316, -232406, 564719, 867351, -2107560, -3236998, 7865521, 12080641, -29354524, -45085566, 109552575, 168261623, -408855776
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Sequence A002530 and A002531 are also generated by the floretion given in the program code.
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FORMULA
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a(2n) = ((-1)^n)*A054491(n), a(2n+1) = ((-1)^n+1)*A001353(n+1). G.f. (1-4*x-2*x^2-x^3)/(x^4+4*x^2+1)
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MAPLE
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Floretion Algebra Multiplication Program, FAMP Code: 1lestesseq[A*B] with A = + .25'i + .25i' + 'ij' + .25'jk' + .25'kj' and B = + j' + k' + 'ii'.
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CROSSREFS
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Cf. A054491, A001353, A002530.
Sequence in context: A119034 A100911 A034765 this_sequence A027631 A128620 A045907
Adjacent sequences: A109728 A109729 A109730 this_sequence A109732 A109733 A109734
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KEYWORD
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easy,sign
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Aug 09 2005
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