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Search: id:A097065
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| A097065 |
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Interleave n+1 and n-1. |
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+0
4
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| 1, -1, 2, 0, 3, 1, 4, 2, 5, 3, 6, 4, 7, 5, 8, 6, 9, 7, 10, 8, 11, 9, 12, 10, 13, 11, 14, 12, 15, 13, 16, 14, 17, 15, 18, 16, 19, 17, 20, 18, 21, 19, 22, 20, 23, 21, 24, 22, 25, 23, 26, 24, 27, 25, 28, 26, 29, 27, 30, 28, 31, 29, 32, 30, 33, 31, 34, 32, 35, 33, 36, 34, 37, 35, 38
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Pairwise sums are abs(A023443), or n-1+2*0^n. The partial sums of this sequence is A000124, with extra leading 1. Partial sums are A097066. Binomial transform is A097067.
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FORMULA
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G.f. : (1-2x+2x^2)/((1+x)(1-x)^2); a(n)=(2n-1)/4+5(-1)^n/4.
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MATHEMATICA
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Table[(2n - 1)/4 + 5(-1)^n/4, {n, 0, 75}] (* Or *) Flatten[ Table[{n + 1, n - 1}, {n, 0, 37}]] (* Or *) CoefficientList[Series[(1 - 2x + 2x^2)/((1 + x)(1 - x)^2), {x, 0, 75}], x] (from Robert G. Wilson v Jul 24 2004)
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CROSSREFS
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Essentially the same as A084964.
Sequence in context: A161162 A025636 A025637 this_sequence A084964 A008720 A008734
Adjacent sequences: A097062 A097063 A097064 this_sequence A097066 A097067 A097068
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KEYWORD
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easy,sign
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 22 2004
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