OFFSET
1,3
COMMENTS
These are generalized Stirling numbers.
LINKS
U. N. Katugampola, Mellin Transforms of Generalized Fractional Integrals and Derivatives, Appl. Math. Comput. 257(2015) 566-580.
FORMULA
G.f.: exp(((1+4/5*x*y)^(5/4)-1)/x).
EXAMPLE
1;
1, 5;
-3, 15, 25;
21, -45, 150, 125;
-231, 375, -375, 1250, 625;
693, -981, 750, -375, 1875, 625;
MAPLE
# This will generate the sequence as coefficients of pseudo polynomials
# up to a constant multiple.
a[0] := f(x):
for i to 10 do
a[i] := simplify(x^(1/5)*(diff(a[i-1], x$1)))
end do;
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Udita Katugampola, Apr 18 2013
STATUS
approved