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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.
0
1, 3, 3, 6, 15, 9, 13, 49, 63, 27, 23, 137, 276, 243, 81, 44, 338, 969, 1323, 891, 243, 73, 782, 2950, 5589, 5778, 3159, 729, 131, 1695, 8161, 20097, 28485, 23733, 10935, 2187, 210, 3545, 20966, 64557, 117801, 133569, 93312, 37179, 6561
OFFSET
1,2
COMMENTS
See the link and A321620 for more information about the Riordan square transform.
LINKS
Petros Hadjicostas, Generalized colored circular palindromic compositions, Moscow Journal of Combinatorics and Number Theory, 9(2) (2020), 173-186.
Peter Luschny, The Riordan Square Transform, 2018.
EXAMPLE
[1] [ 1]
[2] [ 3, 3]
[3] [ 6, 15, 9]
[4] [ 13, 49, 63, 27]
[5] [ 23, 137, 276, 243, 81]
[6] [ 44, 338, 969, 1323, 891, 243]
[7] [ 73, 782, 2950, 5589, 5778, 3159, 729]
[8] [ 131, 1695, 8161, 20097, 28485, 23733, 10935, 2187]
[9] [ 210, 3545, 20966, 64557, 117801, 133569, 93312, 37179, 6561]
PROG
(SageMath) # using riordan_square_array from A321620, A308747.
riordan_square_array([1, 3, 6, 13, 23, 44, 73, 131, 210])
CROSSREFS
Sequence in context: A110523 A145597 A143418 * A092370 A245796 A345908
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Aug 09 2020
STATUS
approved