|
%I #10 Aug 09 2020 16:53:49
%S 1,3,3,6,15,9,13,49,63,27,23,137,276,243,81,44,338,969,1323,891,243,
%T 73,782,2950,5589,5778,3159,729,131,1695,8161,20097,28485,23733,10935,
%U 2187,210,3545,20966,64557,117801,133569,93312,37179,6561
%N 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 See the link and A321620 for more information about the Riordan square transform.
%H 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 Peter Luschny, <a href="http://luschny.de/math/seq/RiordanSquare.html">The Riordan Square Transform</a>, 2018.
%e [1] [ 1]
%e [2] [ 3, 3]
%e [3] [ 6, 15, 9]
%e [4] [ 13, 49, 63, 27]
%e [5] [ 23, 137, 276, 243, 81]
%e [6] [ 44, 338, 969, 1323, 891, 243]
%e [7] [ 73, 782, 2950, 5589, 5778, 3159, 729]
%e [8] [ 131, 1695, 8161, 20097, 28485, 23733, 10935, 2187]
%e [9] [ 210, 3545, 20966, 64557, 117801, 133569, 93312, 37179, 6561]
%o (SageMath) # using riordan_square_array from A321620, A308747.
%o riordan_square_array([1, 3, 6, 13, 23, 44, 73, 131, 210])
%Y Cf. A308747, A321620.
%K nonn,tabl
%O 1,2
%A _Peter Luschny_, Aug 09 2020
|
