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

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, 706, 825, 877, 1, 128, 793, 1785, 2744, 3479, 3937, 4140, 1, 256, 2315, 6347, 11002, 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

Offset: 1

Author

N. J. A. Sloane, Aug 11 2023, based on an email from Don Knuth

Keywords

• nonn
• tabl

Comments

A variant of A113547 and A362924. See those entries for further information.

Examples

			Triangle begins:
  [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, 706, 825, 877],
  [1, 128, 793, 1785, 2744, 3479, 3937, 4140],
  [1, 256, 2315, 6347, 11002, 15177, 18313, 20270, 21147],
  ...
		

Crossrefs

Cf. A113547, A362924.

Programs

Mathematica

A362926[n_,m_]:=Sum[StirlingS2[m-1,k-1]k^(n-m+1),{k,m}];
Table[A362926[n,m],{n,15},{m,n}] (* Paolo Xausa, Dec 02 2023 *)

Extensions

Name corrected by Paolo Xausa, Dec 02 2023