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A295634 Triangle read by rows: T(n,k) = number of nonequivalent dissections of an n-gon into k polygons by nonintersecting diagonals up to rotation and reflection.

%I A295634 #9 Jan 15 2018 03:09:33
%S A295634 1,1,1,1,1,1,1,2,3,3,1,2,6,7,4,1,3,11,24,24,12,1,3,17,51,89,74,27,1,4,
%T A295634 26,109,265,371,259,82,1,4,36,194,660,1291,1478,891,228,1,5,50,345,
%U A295634 1477,3891,6249,6044,3176,733,1,5,65,550,3000,10061,21524,29133,24302,11326,2282
%N A295634 Triangle read by rows: T(n,k) = number of nonequivalent dissections of an n-gon into k polygons by nonintersecting diagonals up to rotation and reflection.
%H A295634 Andrew Howroyd, <a href="/A295634/b295634.txt">Table of n, a(n) for n = 3..1277</a>
%e A295634 Triangle begins: (n >= 3, k >= 1)
%e A295634 1;
%e A295634 1, 1;
%e A295634 1, 1,  1;
%e A295634 1, 2,  3,   3;
%e A295634 1, 2,  6,   7,   4;
%e A295634 1, 3, 11,  24,  24,   12;
%e A295634 1, 3, 17,  51,  89,   74,   27;
%e A295634 1, 4, 26, 109, 265,  371,  259,  82;
%e A295634 1, 4, 36, 194, 660, 1291, 1478, 891, 228;
%e A295634 ...
%o A295634 (PARI) \\ See A295419 for DissectionsModDihedral()
%o A295634 T=DissectionsModDihedral(apply(i->y, [1..12]));
%o A295634 for(n=3, #T, for(k=1, n-2, print1(polcoeff(T[n], k), ", ")); print)
%Y A295634 Row sums are A001004.
%Y A295634 Column k=3 is A003453.
%Y A295634 Diagonals include A000207, A003449, A003450.
%Y A295634 Cf. A295260, A295419, A295633.
%K A295634 nonn,tabl
%O A295634 3,8
%A A295634 _Andrew Howroyd_, Nov 24 2017