OFFSET
0,5
COMMENTS
Row sums are: {1, 2, 6, 47, 854, 33502, 3217065, 696909117, 315741551830, 339451781249846, 856885032450030756, ...}.
LINKS
G. C. Greubel, Rows n = 0..50 of triangle, flattened
FORMULA
T(n, k) = binomial(n*binomial(n, k), k).
EXAMPLE
Triangle begins as:
1;
1, 1;
1, 4, 1;
1, 9, 36, 1;
1, 16, 276, 560, 1;
1, 25, 1225, 19600, 12650, 1;
1, 36, 4005, 280840, 2555190, 376992, 1;
1, 49, 10731, 2421090, 146475945, 534017484, 13983816, 1;
MAPLE
seq(seq( binomial(n*binomial(n, k), k), k=0..n), n=0..10); # G. C. Greubel, Nov 30 2019
MATHEMATICA
Table[Binomial[n*Binomial[n, k], k], {n, 0, 10}, {k, 0, n}]//Flatten
PROG
(PARI) T(n, k) = binomial(n*binomial(n, k), k); \\ G. C. Greubel, Nov 30 2019
(Magma) [Binomial(n*Binomial(n, k), k): k in [0..n], n in [0..10]]; // G. C. Greubel, Nov 30 2019
(Sage) [[binomial(n*binomial(n, k), k) for k in (0..n)] for n in (0..10)] # G. C. Greubel, Nov 30 2019
(GAP) Flat(List([0..10], n-> List([0..n], k-> Binomial(n*Binomial(n, k), k) ))); # G. C. Greubel, Nov 30 2019
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Roger L. Bagula, Feb 23 2009
STATUS
approved