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A192813 Coefficient of x in the reduction of the polynomial x^(2n)+x^n+1 by x^3->x+1. 1
0, 1, 1, 3, 4, 6, 11, 18, 31, 53, 91, 158, 274, 477, 832, 1453, 2541, 4447, 7788, 13646, 23919, 41938, 73547, 129001, 226295, 397006, 696546, 1222153, 2144464, 3762921, 6603001, 11586843, 20332676, 35680278, 62613091, 109876418, 192817159 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

For discussions of polynomial reduction, see A192232 and A192744.

LINKS

Table of n, a(n) for n=1..37.

Index to sequences with linear recurrences with constant coefficients, signature (2,0,0,-1,0,-1).

FORMULA

a(n)=2*a(n-1)-a(n-4)-a(n-6).

G.f.: -x^2*(x^4+2*x^3-x^2+x-1)/((x^3-x^2+2*x-1)*(x^3+x^2-1)). [Colin Barker, Nov 23 2012]

MATHEMATICA

(See A192812.)

CROSSREFS

Cf. A192744, A192232, A192812.

Sequence in context: A069825 A093040 A022935 * A048229 A002090 A199970

Adjacent sequences:  A192810 A192811 A192812 * A192814 A192815 A192816

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 10 2011

STATUS

approved

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Last modified November 23 18:50 EST 2014. Contains 249865 sequences.