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A362926 Triangle read by rows: A113547 without its main diagonal.

%I A362926 #15 Jul 09 2025 05:02:18
%S A362926 1,1,2,1,4,5,1,8,13,15,1,16,35,47,52,1,32,97,153,188,203,1,64,275,515,
%T A362926 706,825,877,1,128,793,1785,2744,3479,3937,4140,1,256,2315,6347,11002,
%U A362926 15177,18313,20270,21147,1,512,6817,23073,45368,68303,88033,102678,111835,115975,1,1024,20195,85475,191866,316305,436297,536882,610989,657423,678570
%N A362926 Triangle read by rows: A113547 without its main diagonal.
%C A362926 A variant of A113547 and A362924. See those entries for further information.
%e A362926 Triangle begins:
%e A362926   [1],
%e A362926   [1, 2],
%e A362926   [1, 4, 5],
%e A362926   [1, 8, 13, 15],
%e A362926   [1, 16, 35, 47, 52],
%e A362926   [1, 32, 97, 153, 188, 203],
%e A362926   [1, 64, 275, 515, 706, 825, 877],
%e A362926   [1, 128, 793, 1785, 2744, 3479, 3937, 4140],
%e A362926   [1, 256, 2315, 6347, 11002, 15177, 18313, 20270, 21147],
%e A362926   ...
%t A362926 A362926[n_,m_]:=Sum[StirlingS2[m-1,k-1]k^(n-m+1),{k,m}];
%t A362926 Table[A362926[n,m],{n,15},{m,n}] (* _Paolo Xausa_, Dec 02 2023 *)
%Y A362926 Cf. A113547, A362924.
%K A362926 nonn,tabl
%O A362926 1,3
%A A362926 _N. J. A. Sloane_, Aug 11 2023, based on an email from _Don Knuth_
%E A362926 Name corrected by _Paolo Xausa_, Dec 02 2023