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A046672 Expansion of 1/(1-2*x-3*x^2+2*x^3). 3
1, 2, 7, 18, 53, 146, 415, 1162, 3277, 9210, 25927, 72930, 205221, 577378, 1624559, 4570810, 12860541, 36184394, 101808791, 286449682, 805956949, 2267645362, 6380262207, 17951546602, 50508589101, 142111293594, 399845261287, 1125007225154 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Iain Fox, Table of n, a(n) for n = 0..2226

Index entries for linear recurrences with constant coefficients, signature (2,3,-2).

Richard M. Low and Ardak Kapbasov, Non-Attacking Bishop and King Positions on Regular and Cylindrical Chessboards, Journal of Integer Sequences, Vol. 20 (2017), Article 17.6.1, Table 6.

FORMULA

a(n) = 2*a(n-1) + 3*a(n-2) - 2*a(n-3), n > 2. - Iain Fox, Dec 02 2017

PROG

(PARI) first(n) = Vec(1/(1-2*x-3*x^2+2*x^3) + O(x^n)) \\ Iain Fox, Dec 02 2017

CROSSREFS

Partial sums of A054854.

Cf. A101197.

Sequence in context: A006869 A099626 A261331 * A046866 A291255 A294004

Adjacent sequences:  A046669 A046670 A046671 * A046673 A046674 A046675

KEYWORD

nonn,easy,changed

AUTHOR

N. J. A. Sloane, Nov 17 2002

STATUS

approved

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Last modified December 12 16:38 EST 2017. Contains 295949 sequences.