OFFSET
0,5
COMMENTS
Polynomial coefficients of H_n^(3)(x) by Bostan et al.
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..1325 (rows 0..50)
Alin Bostan, Bruno Salvy, Khang Tran, Generating functions of Chebyshev-like polynomials, 2009.
Alin Bostan, Bruno Salvy, et al., Generating functions of Chebyshev-like polynomials, Intl. J. Number Theory 6 (7) (2010) 1659
FORMULA
A(x;t) = Sum_{n>=0} P_n(t)*x^n = (1-x)*((x-1)^6 - t*x^2*(x+3)*(3*x+1))/(t^2*x^4-t*x*(x^4+14*x^3+34*x^2+14*x+1)*(x-1)^2+(x-1)^8), where P_n(t) = Sum_{k=0..n} T(n,k)*t^k. - Gheorghe Coserea, Apr 20 2017
EXAMPLE
1
1 1
1 18 1
1 129 38 1
1 571 627 58 1
1 1884 6212 1525 78 1
1 5103 43123 24576 2823 98 1
1 11998 230241 277500 63660 4521 118 1
1 25362 1005267 2379096 1014681 131464 6619 138 1
1 49347 3744753 16359996 12301986 2724266 235988 9117 158 1
PROG
(PARI)
my(x='x+O('x^10)); concat(apply(p->Vecrev(p), Vec(Ser((1-x)*((x-1)^6 - t*x^2*(x+3)*(3*x+1))/(t^2*x^4-t*x*(x^4+14*x^3+34*x^2+14*x+1)*(x-1)^2+(x-1)^8))))) \\ Gheorghe Coserea, Apr 20 2017
CROSSREFS
KEYWORD
tabl,nonn
AUTHOR
R. J. Mathar, Jan 10 2011
EXTENSIONS
Terms a(38) and beyond from Andrew Howroyd, Apr 13 2021
STATUS
approved