A130127 Triangle defined by A000012 * A130125, read by rows.

1, 1, 2, 2, 2, 4, 2, 4, 4, 8, 3, 4, 8, 8, 16, 3, 6, 8, 16, 16, 32, 4, 6, 12, 16, 32, 32, 64, 4, 8, 12, 24, 32, 64, 64, 128, 5, 8, 16, 24, 48, 64, 128, 128, 256, 5, 10, 16, 32, 48, 96, 128, 256, 256, 512, 6, 10, 20, 32, 64, 96, 192, 256, 512, 512, 1024, 6, 12, 20, 40, 64, 128, 192, 384, 512, 1024, 1024, 2048

Offset: 1

Author

Gary W. Adamson, May 11 2007

Keywords

• nonn
• tabl

Comments

Row sums = A011377: (1, 3, 8, 18, 39, ...). A130126 = A130125 * A000012.

Examples

			First few rows of the triangle:
  1;
  1, 2;
  2, 2,  4;
  2, 4,  4,  8;
  3, 4,  8,  8, 16;
  3, 6,  8, 16, 16, 32;
  4, 6, 12, 16, 32, 32, 64;
  ...
		

Links

• G. C. Greubel, Rows n = 1..100 of triangle, flattened

Crossrefs

Cf. A000012, A130125, A130126, A011377.

Programs

Magma

[[2^(k-1)*Floor((n-k+2)/2): k in [1..n]]: n in [1..12]]; // G. C. Greubel, Jun 06 2019

Mathematica

Table[2^(k-1)*Floor[(n-k+2)/2], {n,1,12}, {k,1,n}]//Flatten (* G. C. Greubel, Jun 06 2019 *)

PARI

{T(n,k) = 2^(k-1)*floor((n-k+2)/2)}; \\ G. C. Greubel, Jun 06 2019

Sage

[[2^(k-1)*floor((n-k+2)/2) for k in (1..n)] for n in (1..12)] # G. C. Greubel, Jun 06 2019

Formula

T(n,k) = 2^(k-1) * floor((n-k+2)/2). - G. C. Greubel, Jun 06 2019

Extensions

More terms added by G. C. Greubel, Jun 06 2019