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A281862
Riordan transform of the triangular number sequence A000217 with the Chebyshev S matrix A049310.
1
0, 1, 3, 4, 1, -6, -11, -6, 9, 21, 14, -12, -34, -25, 15, 50, 39, -18, -69, -56, 21, 91, 76, -24, -116, -99, 27, 144, 125, -30, -175, -154, 33, 209, 186, -36, -246, -221, 39, 286, 259, -42, -329, -300, 45, 375
OFFSET
0,3
COMMENTS
For the analogous sequence with the inverse S Riordan matrix A053121 see A189391.
FORMULA
a(n) = Sum_{m=0..n} A049310(n,m)*A000217(m), n >= 0.
a(n) = b(n-1) + b(n-3), n >= 0 with b(-3) = b(-2) = b(-1) = 0 and b(n) = A128504(n) for n >= 0.
G.f.: (1/(1+x^2))*Tri(x/(1+x^2)), with Tri(x) = x/(1-x)^3 (g.f. of A000217).
G.f. x*(1 + x^2)/(1 - x + x^2)^3.
MATHEMATICA
CoefficientList[Series[x (1 + x^2)/(1 - x + x^2)^3, {x, 0, 45}], x] (* Michael De Vlieger, Feb 18 2017 *)
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Wolfdieter Lang, Feb 18 2017
STATUS
approved