OFFSET
0,3
FORMULA
Conjecture: A(n, 0) = A249833(n+1). - Mikhail Kurkov, Apr 25 2024
EXAMPLE
Array begins:
=================================================
n\k| 0 1 2 3 4 5 ...
---+---------------------------------------------
0 | 1 1 1 1 1 1 ...
1 | 2 5 13 33 81 193 ...
2 | 7 27 108 437 1758 6959 ...
3 | 34 176 944 5154 28304 155034 ...
4 | 210 1364 9144 62496 431644 2992648 ...
5 | 1574 12292 98742 808564 6703438 55967104 ...
...
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, v[k+1] + k*sum(j=1, k, binomial(k-1, j-1)*v[j])); r[1+i] = v[1..n+1]); Mat(r)}
{ A(5) }
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Mikhail Kurkov, Feb 17 2024
STATUS
approved