OFFSET
0,5
LINKS
G. C. Greubel, Rows n = 0..50 of the triangle, flattened
FORMULA
T(n, k, q) = c(n, q)/(c(k, q)*c(n-k, q)), where c(n, k) = Product_{j=1..n} (q*(3*q - 1)/2)^j and q = 4.
T(n, k, q) = (binomial(3*q, 2)/3)^(k*(n-k)) with q = 4.
T(n, k, m) = (m+2)^(k*(n-k)) with m = 20. - G. C. Greubel, Jul 01 2021
EXAMPLE
Triangle begins as:
1;
1, 1;
1, 22, 1;
1, 484, 484, 1;
1, 10648, 234256, 10648, 1;
1, 234256, 113379904, 113379904, 234256, 1;
1, 5153632, 54875873536, 1207269217792, 54875873536, 5153632, 1;
MATHEMATICA
T[n_, k_, q_]= (Binomial[3*q, 2]/3)^(k*(n-k)); Table[T[n, k, 4], {n, 0, 12}, {k, 0, n}]//Flatten
Table[22^(k*(n-k)), {n, 0, 12}, {k, 0, n}]//Flatten (* G. C. Greubel, Jul 01 2021 *)
PROG
(Magma) [22^(k*(n-k)): k in [0..n], n in [0..12]]; // G. C. Greubel, Jul 01 2021
(Sage) flatten([[22^(k*(n-k)) for k in (0..n)] for n in (0..12)]) # G. C. Greubel, Jul 01 2021
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Roger L. Bagula, Apr 22 2010
EXTENSIONS
Edited by G. C. Greubel, Jul 01 2021
STATUS
approved