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URL: https://oeis.org/A143604

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A143604
Polynomial expansion sequence : p(x)=1 + x^2 - x^3 - x^5 - x^7 + x^8 + x^10.
2
1, 0, -1, 1, 1, -1, 0, 2, -1, -2, 3, 1, -4, 1, 4, -4, -3, 7, -1, -9, 6, 7, -12, -2, 16, -8, -16, 20, 8, -30, 8, 33, -30, -23, 53, -3, -65, 44, 56, -89, -16, 123, -55, -122, 145, 66, -224, 53, 251, -221, -183, 392, -9, -492, 312, 432, -660, -144, 924, -384
OFFSET
0,8
FORMULA
p(x)=1 + x^2 - x^3 - x^5 - x^7 + x^8 + x^10; a(n)=expansion_coefficients(x^10*p(1/x)),
MATHEMATICA
f[x_] = 1 + x^2 - x^3 - x^5 - x^7 + x^8 + x^10; g[x] = ExpandAll[x^10*f[1/x]]; a = Table[SeriesCoefficient[Series[1/g[x], {x, 0, 50}], n], {n, 0, 50}]
LinearRecurrence[{0, -1, 1, 0, 1, 0, 1, -1, 0, -1}, {1, 0, -1, 1, 1, -1, 0, 2, -1, -2}, 60] (* Ray Chandler, Sep 29 2025 *)
CROSSREFS
Sequence in context: A264744 A354322 A358532 * A021475 A132224 A381623
KEYWORD
sign,easy
AUTHOR
Roger L. Bagula, Oct 26 2008
EXTENSIONS
Offset corrected to 0.- Ray Chandler, Sep 29 2025
STATUS
approved