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A107363
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G.f. (x-1)*(1+x^2)*(x^4+2*x^3-x^2+1)*(x+1)^2/((x^4+x^2-1)*(x^8-x^6+2*x^4+x^2+1)).
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0
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1, 1, -1, 1, 2, 0, 5, 3, -7, 3, 8, 0, 21, 13, -29, 13, 34, 0, 89, 55, -123, 55, 144, 0, 377, 233, -521, 233, 610, 0, 1597, 987, -2207, 987, 2584, 0, 6765, 4181, -9349, 4181, 10946, 0, 28657, 17711, -39603, 17711, 46368, 0, 121393, 75025, -167761, 75025, 196418, 0, 514229, 317811, -710647, 317811, 832040, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Conjectures: { Fib(n) | n in naturals } = { a(n) | n in naturals, a(n) >= 0 } = { a(n) | n in naturals, n not of the form 6*n+2 } (naturals include 0).
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FORMULA
| a(6*n+2) = - A048876(n) (Generalized Pellian with second term of 7), conjecture
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PROG
| Floretion Algebra Multiplication Program, FAMP Code: 4teszapseq[(- .5'j + .5'k - .5j' + .5k' - 'ii' - .5'ij' - .5'ik' - .5'ji' - .5'ki')*( + .5'j + .5i' + .5'ik' + .5'jk' + .5'ki' + .5'kj')]
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CROSSREFS
| Cf. A000045, A048876.
Sequence in context: A021491 A121705 A071782 * A154954 A095245 A173732
Adjacent sequences: A107360 A107361 A107362 * A107364 A107365 A107366
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KEYWORD
| sign
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AUTHOR
| Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), May 24 2005
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