A110063 Expansion of -(3 - x + 2*x^2) / (1 - x^3 + x^4).

-3, 1, -2, -3, 4, -3, -1, 7, -7, 2, 8, -14, 9, 6, -22, 23, -3, -28, 45, -26, -25, 73, -71, 1, 98, -144, 72, 97, -242, 216, 25, -339, 458, -191, -364, 797, -649, -173, 1161, -1446, 476, 1334, -2607, 1922, 858, -3941, 4529, -1064, -4799, 8470, -5593, -3735, 13269, -14063, 1858, 17004, -27332, 15921, 15146, -44336

Offset

0,1

Comments

One of several sequences which appear to "spiral outwards" when plotted against each other (see A110061-64).

Links

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

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

Formula

a(n) = a(n-3) - a(n-4) for n>3. - Colin Barker, May 11 2019

Maple

seriestolist(series(-(3-x+2*x^2)/(1-x^3+x^4), x=0, 60)); -or- Floretion Algebra Multiplication Program, FAMP Code: 4jbaseseq[A*B] with A = + .5'i + .5'j + .5'k + .5e and B = - .5'i - .25'j + .25'k - .5i' - .25j' + .25k' - .5'ii' - .25'ij' - .25'ik' - .25'ji' - .25'ki' - .5e

Prog

(PARI) Vec(-(3 - x + 2*x^2) / (1 - x^3 + x^4) + O(x^45)) \\ Colin Barker, May 11 2019

Crossrefs

Cf. A110061, A110062, A110064.

Sequence in context: A021766 A286357 A135564 * A260313 A050056 A209882

Adjacent sequences: A110060 A110061 A110062 * A110064 A110065 A110066

Keyword

easy,sign

Author

Creighton Dement, Jul 10 2005

Status

approved