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A213042 Convolution of (1,0,2,0,3,0,...) and (1,0,0,2,0,0,3,0,0,...); i.e., (A027656(n)) and (A175676(n+2)). 1
1, 0, 2, 2, 3, 4, 7, 6, 11, 12, 15, 18, 24, 24, 33, 36, 42, 48, 58, 60, 74, 80, 90, 100, 115, 120, 140, 150, 165, 180, 201, 210, 237, 252, 273, 294, 322, 336, 371, 392, 420, 448, 484, 504, 548, 576, 612, 648, 693, 720, 774, 810, 855, 900, 955, 990, 1055 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = 2*a(n-2)+2*a(n-3)-a(n-4)-4*a(n-5)-a(n-6)+2*a(n-7)+2*a(n-8)-a(n-10).
G.f.: 1/(((1 - x^2)^2)*(1 - x^3)^2).
EXAMPLE
a(6) = (1,0,2,0,3,0,4)**(1,0,0,2,0,0,3) = 1*3 + 0*0 + 2*0 + 0*2 + 3*0 + 0*0 + 4*1 = 7.
MATHEMATICA
s = Normal[Series[1/((1 - x^2)^2 (1 - x^3)^2),
{x, 0, 80}]]
c = CoefficientList[s, t] (* A213042 *)
CROSSREFS
Sequence in context: A343399 A332106 A088633 * A114952 A328789 A086969
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 10 2012
STATUS
approved

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Last modified May 28 12:33 EDT 2024. Contains 372913 sequences. (Running on oeis4.)