OFFSET
0,2
REFERENCES
G. W. Caunt, Infinitesimal Calculus, Oxford Univ. Press, 1914, p. 477.
LINKS
T. D. Noe, Table of n, a(n) for n=0..100
EXAMPLE
1 + 2*x + 2*x^2 + (8/3)*x^3 + (10/3)*x^4 + (64/15)*x^5 + (244/45)*x^6 + ...
MATHEMATICA
nmax = 23; t[0, 1] = 1; t[0, _] = 0; t[n_, k_] := t[n, k] = (k-1)*t[n-1, k-1] + (k+1)*t[n-1, k+1]; Numerator[ Table[ Sum[ t[n, k]/n!, {k, 0, n+1}], {n, 0, nmax} ]] (* Jean-François Alcover, Nov 09 2011 *)
CoefficientList[Series[Tan[x+Pi/4], {x, 0, 30}], x]//Numerator (* Harvey P. Dale, May 21 2023 *)
CROSSREFS
KEYWORD
nonn,frac,easy,nice
AUTHOR
STATUS
approved