OFFSET
0,11
COMMENTS
FORMULA
N(n, k) in Sum{k=0..n}N(n, k)/D(n, k)*m^k=m!, m=0..n, with reduced fraction N(n, k)/D(n, k) and D(n, k) is A103360. N(n, k)=a(n*(n+3)/2-k).
EXAMPLE
1; 1; 1/2*x^2-1/2*x+1; 1/3*x^3-1/2*x^2+1/6*x+1;
3/8*x^4-23/12*x^3+29/8*x^2-25/12*x+1;
11/30*x^5-79/24*x^4+131/12*x^3-353/24*x^2+403/60*x+1
CROSSREFS
KEYWORD
AUTHOR
Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Feb 02 2005
STATUS
approved