A143038 Triangle read by rows, A000012 * A134309 * A000012, where A134309 = an infinite lower triangular matrix with (1, 1, 2, 4, 8, 16, ...) in the main diagonal and the rest zeros.

1, 1, 2, 2, 3, 4, 4, 6, 7, 8, 8, 12, 14, 15, 16, 16, 24, 28, 30, 31, 32, 32, 48, 56, 60, 62, 63, 64, 64, 96, 112, 120, 124, 126, 127, 128, 128, 192, 224, 240, 248, 252, 254, 255, 256, 256, 384, 448, 480, 496, 504, 508, 510, 511, 512

Offset: 0

Author

Gary W. Adamson, Jul 18 2008

Keywords

• nonn
• tabl

Comments

Row sums = A002064, the Cullen numbers (1, 3, 9, 25, 65, 161, 385, ...).

Examples

			First few rows of the triangle:
   1;
   1,  2;
   2,  3,  4;
   4,  6 , 7,  8;
   8, 12, 14, 15, 16;
  16, 24, 28, 30, 21, 32;
  32, 48, 56, 60, 62, 63, 64;
  ...
		

Crossrefs

Cf. A134309, A002064.

Cf. A002262, A003056, A023532.

Formula

a(n) = 2^i - 2^(i-1-j)*[jA003056(n), j = A002262(n). - Yuchun Ji, May 15 2020