OFFSET
0,3
LINKS
Ira M. Gessel, General case of the some R-recursions, answer to question on MathOverflow (2024).
EXAMPLE
Array begins:
====================================================
n\k| 0 1 2 3 4 5 ...
---+------------------------------------------------
0 | 1 1 1 1 1 1 ...
1 | 2 5 10 17 26 37 ...
2 | 7 30 107 298 687 1382 ...
3 | 37 227 1261 5455 18557 52267 ...
4 | 264 2169 16804 105837 516192 2009089 ...
5 | 2433 25480 257073 2209584 14913889 78851808 ...
...
PROG
(PARI)
A(m, n=m)={my(r=vectorv(m+1), v=vector(n+m+1, k, 1)); r[1] = v[1..n+1];
for(i=1, m, v=vector(#v-1, k, k^2*v[k] + v[k+1]); r[1+i] = v[1..n+1]); Mat(r)}
{ A(5) }
CROSSREFS
KEYWORD
AUTHOR
Mikhail Kurkov, Jan 25 2024
STATUS
approved