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A176971
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Expansion of (1+x)/(1+x-x^3).
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1
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1, 0, 0, 1, -1, 1, 0, -1, 2, -2, 1, 1, -3, 4, -3, 0, 4, -7, 7, -3, -4, 11, -14, 10, 1, -15, 25, -24, 9, 16, -40, 49, -33, -7, 56, -89, 82, -26, -63, 145, -171, 108, 37, -208, 316, -279, 71, 245, -524, 595
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OFFSET
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0,9
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COMMENTS
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Except for signs the sequence is the essentially same as A078013, A050935 and A104769.
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LINKS
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Table of n, a(n) for n=0..49.
Index to sequences with linear recurrences with constant coefficients, signature (-1,0,1). [From R. J. Mathar, Apr 30 2010]
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FORMULA
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a(n) = A000931(n)^2 -A000931(n-1)*A000931(n+1).
a(n)= -a(n-1) +a(n-3). [From R. J. Mathar, Apr 30 2010]
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MATHEMATICA
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a[0] := 1; a[1] = 0; a[2] = 0;
a[n_] := a[n] = a[n - 2] + a[n - 3];
b = Table[a[n], {n, 0, 50}];
Table[b[[n]]^2 - b[[n - 1]]*b[[n + 1]], {n, 1, Length[b] - 1}]
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CROSSREFS
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Sequence in context: A047080 A036064 A090706 * A050935 A104769 A078013
Adjacent sequences: A176968 A176969 A176970 * A176972 A176973 A176974
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KEYWORD
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sign,easy
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AUTHOR
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Roger L. Bagula, Apr 29 2010
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STATUS
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approved
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