A216954 Triangle read by rows: A216953/2.

1, 1, 1, 1, 0, 3, 1, 1, 0, 6, 1, 0, 0, 0, 15, 1, 1, 3, 0, 0, 27, 1, 0, 0, 0, 0, 0, 63, 1, 1, 0, 6, 0, 0, 0, 120, 1, 0, 3, 0, 0, 0, 0, 0, 252, 1, 1, 0, 0, 15, 0, 0, 0, 0, 495, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1023, 1, 1, 3, 6, 0, 27, 0, 0, 0, 0, 0, 2010, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4095, 1, 1, 0, 0, 0, 0, 63, 0, 0, 0, 0, 0, 0, 8127

Offset: 1

Author

N. J. A. Sloane, Sep 25 2012

Keywords

• nonn
• tabl

Examples

			Triangle begins:
  1;
  1, 1;
  1, 0, 3;
  1, 1, 0, 6;
  1, 0, 0, 0, 15;
  1, 1, 3, 0,  0, 27;
  1, 0, 0, 0,  0,  0, 63;
  1, 1, 0, 6,  0,  0,  0, 120;
  1, 0, 3, 0,  0,  0,  0,   0, 252;
  1, 1, 0, 0, 15,  0,  0,   0,   0, 495;
  ...
		

Links

• B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, On Curling Numbers of Integer Sequences, arXiv:1212.6102 [math.CO], 2012-2013.
• B. Chaffin, J. P. Linderman, N. J. A. Sloane and Allan Wilks, On Curling Numbers of Integer Sequences, Journal of Integer Sequences, Vol. 16 (2013), Article 13.4.3.

Crossrefs

Cf. A216953. Main diagonal is A000740.

Programs

Mathematica

a027375[n_] := DivisorSum[n, MoebiusMu[n/#] 2^# &];
T[n_, k_] := If[Divisible[n, k], a027375[k]/2, 0];
Table[T[n, k], {n, 1, 14}, {k, 1, n}] // Flatten (* Jean-François Alcover, Oct 06 2018 *)