A111914 Expansion of -x^2*(x^4-2*x^3+x^2-2*x+1)*(x+1)^2 / ((x-1)*(x^8-x^4+1)).

0, 0, 1, 1, -1, -3, -4, -4, -5, -7, -9, -9, -8, -8, -9, -9, -7, -5, -4, -4, -3, -1, 1, 1, 0, 0, 1, 1, -1, -3, -4, -4, -5, -7, -9, -9, -8, -8, -9, -9, -7, -5, -4, -4, -3, -1, 1, 1, 0, 0, 1, 1, -1, -3, -4, -4, -5, -7, -9, -9, -8, -8, -9, -9, -7, -5, -4, -4, -3, -1, 1, 1, 0, 0, 1, 1, -1, -3, -4, -4, -5, -7, -9, -9, -8, -8, -9, -9, -7, -5, -4, -4

Offset

0,6

Comments

It appears that (a(n)) has period 24.

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,-1,0,0,-1,1).

Formula

a(n) = a(n-1) + a(n-4) - a(n-5) - a(n-8) + a(n-9) for n > 8. - Colin Barker, May 18 2019

Prog

4jbasesigcycsumseq[ + .5'i + .5j' + .5'ij' + .5e], sumtype: Y[8] = (int)Y[6] - (int)Y[7] + Y[8] + sum (internal program code); apart from initial term 0.
(PARI) concat([0, 0], Vec(x^2*(1 + x)^2*(1 - 2*x + x^2 - 2*x^3 + x^4) / ((1 - x)*(1 - x^4 + x^8)) + O(x^40))) \\ Colin Barker, May 18 2019

Crossrefs

Cf. A111912, A111913, A111915, A085846.

Sequence in context: A292351 A098181 A322407 * A051665 A028263 A059179

Adjacent sequences: A111911 A111912 A111913 * A111915 A111916 A111917

Keyword

easy,sign

Author

Creighton Dement, Aug 20 2005

Status

approved