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%I #6 Jun 09 2024 23:58:30
%S 1,2,1,5,2,1,17,8,2,1,79,27,8,2,1,554,128,31,8,2,1,5283,797,143,31,8,
%T 2,1,65346,6939,878,148,31,8,2,1,966156,80025,7381,898,148,31,8,2,1,
%U 16411700,1135841,83038,7494,904,148,31,8,2,1,312700297,18804319,1161866,83679,7519,904,148,31,8,2,1
%N Triangle T(n,k) read by rows: number of chord diagrams with k isolated bracelets and a total of n chords.
%C Multiset transformation of A054499.
%C The row sums 1, 3, 8, 28, 117, 724, 6265, 73353, 1054650, 17639167, ... are the Euler Transform of A054499.
%e T(3,2)=2: two bracelets with 3 chords in two variants (i) one bracelet with one chord and the other with 2 noncrossing chords, (ii) one bracelet with one chord and the other with 2 crossing chords.
%e 1 ;
%e 2 1 ;
%e 5 2 1 ;
%e 17 8 2 1 ;
%e 79 27 8 2 1 ;
%e 554 128 31 8 2 1 ;
%e 5283 797 143 31 8 2 1 ;
%e 65346 6939 878 148 31 8 2 1 ;
%e 966156 80025 7381 898 148 31 8 2 1 ;
%e 16411700 1135841 83038 7494 904 148 31 8 2 1 ;
%Y Cf. A054499.
%K nonn,tabl
%O 1,2
%A _R. J. Mathar_, Mar 18 2024
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