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A261055 Expansion of ( -1-2*x+x^2+x^3 ) / (x^2+x-1)^3 . 1
1, 5, 14, 36, 83, 182, 382, 778, 1546, 3013, 5778, 10932, 20447, 37867, 69526, 126690, 229309, 412570, 738308, 1314824, 2331218, 4116731, 7243092, 12700680, 22201165, 38696513, 67267550, 116642832, 201791063, 348339614, 600095386, 1031830006 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Third column of A228815.

LINKS

Table of n, a(n) for n=0..31.

Index entries for linear recurrences with constant coefficients, signature (3,0,-5,0,3,1).

FORMULA

a(n) = A001628(n) +2*A001628(n-1) -A001628(n-2) -A001628(n-3).

MATHEMATICA

CoefficientList[Series[(-1 - 2 x + x^2 + x^3)/(x^2 + x - 1)^3, {x, 0, 40}], x] (* or *) LinearRecurrence[{3, 0, -5, 0, 3, 1}, {1, 5, 14, 36, 83, 182}, 40] (* Harvey P. Dale, Nov 21 2018 *)

CROSSREFS

Cf. A228815.

Sequence in context: A142585 A234097 A211562 * A320853 A193557 A187198

Adjacent sequences:  A261052 A261053 A261054 * A261056 A261057 A261058

KEYWORD

nonn,easy

AUTHOR

R. J. Mathar, Aug 08 2015

STATUS

approved

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Last modified September 21 07:08 EDT 2019. Contains 327253 sequences. (Running on oeis4.)