cp's OEIS Frontend

A369878 Array read by antidiagonals: T(n,k) is the number of length n necklaces using at most k colors in which the convex hull of a set of beads of any color A cannot be transformed by rotation into the convex hull of a set of beads of any other color B (n >= 1, k >= 1).

%I A369878 #35 Mar 24 2024 13:16:42
%S A369878 1,2,1,3,2,1,4,3,4,1,5,4,9,4,1,6,5,16,9,8,1,7,6,25,16,27,12,1,8,7,36,
%T A369878 25,64,93,20,1,9,8,49,36,125,304,243,32,1,10,9,64,49,216,705,928,699,
%U A369878 60,1,11,10,81,64,343,1356,2405,4384,2019,104,1
%N A369878 Array read by antidiagonals: T(n,k) is the number of length n necklaces using at most k colors in which the convex hull of a set of beads of any color A cannot be transformed by rotation into the convex hull of a set of beads of any other color B (n >= 1, k >= 1).
%C A369878 It is assumed that all beads lie on a circle and that the distance between any two adjacent beads is the same.
%F A369878 T(n,2) = A063776(n).
%e A369878 n\k| 1  2    3     4     5      6      7      8       9 ...
%e A369878 ---+---------------------------------------------------
%e A369878  1 | 1  2    3     4     5      6      7      8       9 ... A000027
%e A369878  2 | 1  2    3     4     5      6      7      8       9 ... A000027
%e A369878  3 | 1  4    9    16    25     36     49     64      81 ... A000290
%e A369878  4 | 1  4    9    16    25     36     49     64      81 ... A000290
%e A369878  5 | 1  8   27    64   125    216    343    512     729 ... A000578
%e A369878  6 | 1 12   93   304   705   1356   2317   3648    5409
%e A369878  7 | 1 20  243   928  2405   5076   9415  15968   25353
%e A369878  8 | 1 32  699  4384 15245  39216  84007 159104  275769
%e A369878  9 | 1 60 2019 18256 72765 202236 457135 902784 1620441
%e A369878 ...
%Y A369878 Cf. A000012, A000027, A000290, A000578, A063776.
%K A369878 nonn,tabl,more
%O A369878 1,2
%A A369878 _Maxim Karimov_ and Vladislav Sulima, Feb 03 2024