A157028 Triangle read by rows, A007318 * A156348

1, 2, 1, 4, 2, 1, 8, 5, 3, 1, 16, 12, 6, 4, 1, 32, 28, 13, 10, 5, 1, 64, 64, 33, 20, 15, 6, 1, 128, 144, 84, 39, 35, 21, 7, 1, 256, 320, 202, 88, 70, 56, 28, 8, 1, 512, 704, 468, 228, 131, 126, 84, 36, 9, 1, 1024, 1536, 1071, 600, 260, 252, 210, 120, 45, 10, 1

Offset

1,2

Comments

Row sums = A157029: (1, 3, 7, 17, 39, 89, 203, 459,...).

Links

Table of n, a(n) for n=1..66.

Formula

Triangle read by rows, binomial transform of A156348.

Example

1;
2, 1;
4, 2, 1;
8, 5, 3, 1;
16, 12, 6, 4, 1;
32, 28, 13, 10, 5, 1;
64, 64, 33, 20, 15, 6, 1;
128, 144, 84, 39, 35, 21, 7, 1;
256, 320, 202, 88, 70, 56, 28, 8, 1;
512, 704, 468, 228, 131, 126, 84, 36, 9, 1;
1024, 1536, 1071, 600, 260, 252, 210, 120, 45, 10, 1;
2048, 3328, 2441, 1495, 605, 468, 462, 330, 165, 55, 11, 1;
4096, 7168, 5532, 3508, 1595, 864, 924, 792, 495, 220, 66, 12, 1;
...

Crossrefs

Cf. A156348, A157019, A157029

Sequence in context: A054453 A109433 A123490 * A060637 A123486 A350161

Adjacent sequences: A157025 A157026 A157027 * A157029 A157030 A157031

Keyword

nonn,tabl

Author

Gary W. Adamson & Mats Granvik, Feb 21 2009

Status

approved