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A336452 Triangle read by rows, the Riordan square of the number of achiral m-color cyclic compositions of n (A308747). T(n,k) for 1 <= k <= n.

%I A336452 #10 Aug 09 2020 16:53:49
%S A336452 1,3,3,6,15,9,13,49,63,27,23,137,276,243,81,44,338,969,1323,891,243,
%T A336452 73,782,2950,5589,5778,3159,729,131,1695,8161,20097,28485,23733,10935,
%U A336452 2187,210,3545,20966,64557,117801,133569,93312,37179,6561
%N A336452 Triangle read by rows, the Riordan square of the number of achiral m-color cyclic compositions of n (A308747). T(n,k) for 1 <= k <= n.
%C A336452 See the link and A321620 for more information about the Riordan square transform.
%H A336452 Petros Hadjicostas, <a href="https://doi.org/10.2140/moscow.2020.9.173">Generalized colored circular palindromic compositions</a>, Moscow Journal of Combinatorics and Number Theory, 9(2) (2020), 173-186.
%H A336452 Peter Luschny, <a href="http://luschny.de/math/seq/RiordanSquare.html">The Riordan Square Transform</a>, 2018.
%e A336452 [1] [   1]
%e A336452 [2] [   3,    3]
%e A336452 [3] [   6,   15,     9]
%e A336452 [4] [  13,   49,    63,    27]
%e A336452 [5] [  23,  137,   276,   243,     81]
%e A336452 [6] [  44,  338,   969,  1323,    891,    243]
%e A336452 [7] [  73,  782,  2950,  5589,   5778,   3159,   729]
%e A336452 [8] [ 131, 1695,  8161, 20097,  28485,  23733, 10935,  2187]
%e A336452 [9] [ 210, 3545, 20966, 64557, 117801, 133569, 93312, 37179, 6561]
%o A336452 (SageMath) # using riordan_square_array from A321620, A308747.
%o A336452 riordan_square_array([1, 3, 6, 13, 23, 44, 73, 131, 210])
%Y A336452 Cf. A308747, A321620.
%K A336452 nonn,tabl
%O A336452 1,2
%A A336452 _Peter Luschny_, Aug 09 2020