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A030279 COMPOSE squares with squares. 6
1, 8, 50, 276, 1397, 6672, 30565, 135668, 587426, 2493056, 10407393, 42848800, 174348417, 702245128, 2803634370, 11106624804, 43697519013, 170871040752, 664492915061, 2571316718500, 9905232077842, 38000679280352, 145240335213857, 553203971301184, 2100403987129441, 7951405959127848 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
N. J. A. Sloane, Transforms
Index entries for linear recurrences with constant coefficients, signature (12, -54, 115, -132, 108, -59, 24, -6, 1).
FORMULA
G.f.: ((1-x)^3*(1+x)*(1-2*x+4*x^2-x^3))/((1-4*x+2*x^2-x^3)^3).
a(n) = 12*a(n-1)-54*a(n-2)+115*a(n-3)-132*a(n-4)+108*a(n-5)-59*a(n-6)+24*a(n-7)-6*a(n-8)+a(n-9). - Wesley Ivan Hurt, Apr 23 2021
MATHEMATICA
CoefficientList[Series[((1-x)^3(1+x)(1-2x+4x^2-x^3))/((1-4x+2x^2-x^3)^3), {x, 0, 30}], x] (* or *) LinearRecurrence[{12, -54, 115, -132, 108, -59, 24, -6, 1}, {1, 8, 50, 276, 1397, 6672, 30565, 135668, 587426}, 30] (* Harvey P. Dale, Mar 14 2016 *)
PROG
(PARI) Vec(((1-x)^3*(1+x)*(1-2*x+4*x^2-x^3))/((1-4*x+2*x^2-x^3)^3)+O(x^66)) \\ Joerg Arndt, Apr 21 2013
CROSSREFS
Sequence in context: A290617 A163228 A033463 * A133357 A081675 A283277
KEYWORD
nonn,nice,easy
AUTHOR
STATUS
approved

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Last modified February 23 17:37 EST 2024. Contains 370283 sequences. (Running on oeis4.)