A109360 Expansion of x*(1+4*x+5*x^2-x^3+6*x^4+x^5-4*x^6) / ((x^2+1)*(x^2-x+1)*(x-1)^2*(x+1)^2).

0, 1, 5, 10, 8, 11, 11, 14, 10, 17, 19, 24, 16, 21, 21, 30, 24, 31, 27, 34, 26, 37, 35, 44, 32, 41, 37, 50, 40, 51, 43, 54, 42, 57, 51, 64, 48, 61, 53, 70, 56, 71, 59, 74, 58, 77, 67, 84, 64, 81, 69, 90, 72, 91, 75, 94, 74, 97, 83, 104, 80, 101, 85, 110, 88, 111, 91, 114, 90

Offset

0,3

Comments

Floretion Algebra Multiplication Program, FAMP Code: 2tessumseq[.25'i + .25i' + .5'ij' + .5'ji' + .25'jk' + .25'kj']; sumtype: (Y[15], *, sum)

Links

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

Index entries for linear recurrences with constant coefficients, signature (1,0,-1,2,-1,0,1,-1).

Formula

a(n) = a(n-1) - a(n-3) + 2*a(n-4) - a(n-5) + a(n-7) - a(n-8) for n>7. - Colin Barker, May 15 2019

Prog

(PARI) concat(0, Vec(x*(1 + 4*x + 5*x^2 - x^3 + 6*x^4 + x^5 - 4*x^6) / ((1 - x)^2*(1 + x)^2*(1 - x + x^2)*(1 + x^2)) + O(x^40))) \\ Colin Barker, May 15 2019

Crossrefs

Sequence in context: A245942 A280943 A316707 * A141622 A144136 A343852

Adjacent sequences: A109357 A109358 A109359 * A109361 A109362 A109363

Keyword

nonn,easy

Author

Creighton Dement, Aug 22 2005

Status

approved