OFFSET
1,1
COMMENTS
The coefficient in front of x^k of the polynomial n!*(n+1+x^n)*Sum_{i=0..n-1} x^i/(i+1), columns k=0..2n-1.
FORMULA
Row sums: (n+2)*A000254(n).
EXAMPLE
The triangle starts
2, 1;
6, 3, 2, 1;
24, 12, 8, 6, 3, 2;
120, 60, 40, 30, 24, 12, 8, 6;
MAPLE
P := proc(n, k) (n+1+x^n)*add( x^i/(i+1), i=0..n-1) ; coeftayl(expand(%), x=0, k) ; end:
T := proc(n, k) n!*P(n, k) ; end:
for n from 1 to 10 do for k from 0 to 2*n-1 do printf("%d, ", T(n, k)) ; od: od: # R. J. Mathar, Apr 09 2009
CROSSREFS
KEYWORD
nonn,easy,tabf
AUTHOR
Paul Curtz, Mar 19 2009
EXTENSIONS
Edited by R. J. Mathar, Apr 09 2009
STATUS
approved