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

0,3

Comments

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

Links

Table of n, a(n) for n=0..54.

Formula

a(n) = 2^i - 2^(i-1-j)*[j<i], where i = A003056(n), j = A002262(n). - Yuchun Ji, May 15 2020

Example

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.

Sequence in context: A345141 A239950 A077768 * A029040 A053281 A339395

Adjacent sequences: A143035 A143036 A143037 * A143039 A143040 A143041

Keyword

nonn,tabl

Author

Gary W. Adamson, Jul 18 2008

Status

approved