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A130746
Triangle read by rows: T(n,m) = binomial(n+m,1+n), 1<=m<=n.
1
1, 1, 4, 1, 5, 15, 1, 6, 21, 56, 1, 7, 28, 84, 210, 1, 8, 36, 120, 330, 792, 1, 9, 45, 165, 495, 1287, 3003, 1, 10, 55, 220, 715, 2002, 5005, 11440, 1, 11, 66, 286, 1001, 3003, 8008, 19448, 43758, 1, 12, 78, 364, 1365, 4368, 12376, 31824, 75582, 167960
OFFSET
1,3
COMMENTS
Row sums are A002054.
EXAMPLE
1;
1, 4;
1, 5, 15;
1, 6, 21, 56;
1, 7, 28, 84, 210;
1, 8, 36, 120, 330, 792;
1, 9, 45, 165, 495, 1287, 3003;
1, 10, 55, 220, 715, 2002, 5005, 11440;
MATHEMATICA
Table[Table[Binomial[n + i, i + 1], {n, 1, i}], {i, 1, 10}] Flatten[%]
CROSSREFS
KEYWORD
nonn,tabl,easy
AUTHOR
Roger L. Bagula, Jul 12 2007
STATUS
approved