OFFSET
0,5
COMMENTS
Polynomial coefficients of H_n^(2)(x) by Bostan et al.
LINKS
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
T(n,1) = A006325(n+1).
A(x;t) = Sum_{n>=0} P_n(t)*x^n = (1-x)^3/((x-1)^4 - t*x*(x+1)^2), where P_n(t) = Sum_{k=0..n} T(n,k)*t^k. - Gheorghe Coserea, Apr 20 2017
EXAMPLE
1
1 1
1 7 1
1 26 13 1
1 70 87 19 1
1 155 403 184 25 1
1 301 1462 1216 317 31 1
1 532 4446 6190 2725 486 37 1
1 876 11826 25954 17903 5146 691 43 1
1 1365 28314 93536 96055 41461 8695 932 49 1
1 2035 62271 298376 439019 271467 83020 13588 1209 55 1
PROG
(PARI)
x='x+O('x^11); concat(apply(p->Vecrev(p), Vec(Ser((1-x)^3/((x-1)^4 - t*x*(x+1)^2))))) \\ Gheorghe Coserea, Apr 20 2017
CROSSREFS
KEYWORD
tabl,nonn
AUTHOR
R. J. Mathar, Jan 10 2011
STATUS
approved