

A109360


Expansion of x*(1+4*x+5*x^2x^3+6*x^4+x^54*x^6) / ((x^2+1)*(x^2x+1)*(x1)^2*(x+1)^2).


1



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
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OFFSET

0,3


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(n1)  a(n3) + 2*a(n4)  a(n5) + a(n7)  a(n8) for n>7.  Colin Barker, May 15 2019


PROG

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



