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A176641 Triangle T(n, k) = 28^(k*(n-k)), read by rows.

%I A176641 #9 Sep 08 2022 08:45:53
%S A176641 1,1,1,1,28,1,1,784,784,1,1,21952,614656,21952,1,1,614656,481890304,
%T A176641 481890304,614656,1,1,17210368,377801998336,10578455953408,
%U A176641 377801998336,17210368,1,1,481890304,296196766695424,232218265089212416,232218265089212416,296196766695424,481890304,1
%N A176641 Triangle T(n, k) = 28^(k*(n-k)), read by rows.
%H A176641 G. C. Greubel, <a href="/A176641/b176641.txt">Rows n = 0..50 of the triangle, flattened</a>
%F A176641 T(n, k, q) = c(n,q)/(c(k, q)*c(n-k, q)) where c(n, k) = Product_{j=1..n} (q*(2*q - 1))^j and q = 4.
%F A176641 From _G. C. Greubel_, Jun 30 2021: (Start)
%F A176641 T(n, k, q) = binomial(2*q, 2)^(k*(n-k)) with q = 4.
%F A176641 T(n, k, m) = (m+2)^(k*(n-k)) with m = 26.
%F A176641 T(n, k, p) = binomial(p+2, 2)^(k*(n-k)) with p = 6. (End)
%e A176641 Triangle begins as:
%e A176641   1;
%e A176641   1,        1;
%e A176641   1,       28,            1;
%e A176641   1,      784,          784,              1;
%e A176641   1,    21952,       614656,          21952,            1;
%e A176641   1,   614656,    481890304,      481890304,       614656,        1;
%e A176641   1, 17210368, 377801998336, 10578455953408, 377801998336, 17210368, 1;
%t A176641 T[n_, k_, q_] = Binomial[2*q, 2]^(k*(n-k));
%t A176641 Table[T[n, k, 4], {n,0,12}, {k,0,n}]//Flatten (* modified by _G. C. Greubel_, Jun 30 2021 *)
%t A176641 With[{m=26}, Table[(m+2)^(k*(n-k)), {n,0,12}, {k,0,n}]//Flatten] (* _G. C. Greubel_, Jun 30 2021 *)
%o A176641 (Magma) [(28)^(k*(n-k)): k in [0..n], n in [0..12]]; // _G. C. Greubel_, Jun 30 2021
%o A176641 (Sage) flatten([[(28)^(k*(n-k)) for k in (0..n)] for n in (0..12)]) # _G. C. Greubel_, Jun 30 2021
%Y A176641 Cf. A000384.
%Y A176641 Cf. A158116 (q=2), A176639 (q=3), this sequence (q=4).
%Y A176641 Cf. A117401 (m=0), A118180 (m=1), A118185 (m=2), A118190 (m=3), A158116 (m=4), A176642 (m=6), A158117 (m=8), A176627 (m=10), A176639 (m=13), A156581 (m=15), A176643 (m=19), A176631 (m=20), this sequence (m=26).
%Y A176641 Cf. A007318 (p=0), A118180 (p=1), A158116 (p=2), A158117 (p=3), A176639 (p=4), A176643 (p=5), this sequence (p=6).
%K A176641 nonn,tabl
%O A176641 0,5
%A A176641 _Roger L. Bagula_, Apr 22 2010
%E A176641 Edited by _G. C. Greubel_, Jun 30 2021