editing
approved
editing
approved
Row sums = A005773 starting (1, 2, 5, 13, 35, 96, ...).
First few rows of the triangle are:
1;
0, 2;
0, 2, 3;
0, 0, 9, 4;
0, 0, 6, 24, 5;
0, 0, 0, 40, 50, 6;
0, 0, 0, 20, 150, 90, 7;
...
...
approved
editing
More terms by _from _Michel Marcus_, Feb 12 2014
proposed
approved
editing
proposed
1,0,3
Offset changed to 1 and more More terms by Michel Marcus, Feb 12 2014
proposed
editing
editing
proposed
1, 0, 2, 0, 2, 3, 0, 0, 9, 4, 0, 0, 6, 24, 5, 0, 0, 0, 40, 50, 6, 0, 0, 0, 20, 150, 90, 7, 0, 0, 0, 0, 175, 420, 147, 8, 0, 0, 0, 0, 70, 840, 980, 224, 9, 0, 0, 0, 0, 0, 756, 2940, 2016, 324, 10, 0, 0, 0, 0, 0, 252, 4410, 8400, 3780, 450, 11
0,1,3
(PARI) tabl(nn) = {t007318 = matrix(nn, nn, n, k, binomial(n-1, k-1)); t132813 = matrix(nn, nn, n, k, binomial(n-1, k-1)*binomial(n, k-1)); t132814 = t007318^(-1)*t132813; for (n=1, nn, for (k=1, n, print1(t132814[n, k], ", "); ); ); } \\ Michel Marcus, Feb 12 2014
Offset changed to 1 and more terms by Michel Marcus, Feb 12 2014
approved
editing
_Gary W. Adamson (qntmpkt(AT)yahoo.com), _, Sep 01 2007