A143604 Polynomial expansion sequence : p(x)=1 + x^2 - x^3 - x^5 - x^7 + x^8 + x^10.

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

Offset

1,8

Links

Table of n, a(n) for n=1..51.

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}]

Crossrefs

Sequence in context: A264744 A354322 A358532 * A021475 A132224 A194961

Adjacent sequences: A143601 A143602 A143603 * A143605 A143606 A143607

Keyword

sign

Author

Roger L. Bagula, Oct 26 2008

Status

approved