A177953 Triangle read by rows, binomial transform of triangle A070909.

1, 2, 1, 4, 2, 1, 8, 3, 4, 1, 16, 4, 11, 4, 1, 32, 5, 26, 10, 6, 1, 64, 6, 57, 20, 22, 6, 1, 128, 7, 120, 35, 64, 21, 8, 1, 256, 8, 247, 56, 163, 56, 37, 8, 1, 512, 9, 502, 84, 382, 126, 130, 36, 10, 1, 1024, 10, 1013, 120, 848, 252, 386, 120, 56, 10, 1, 2048, 11, 2036, 165, 1816, 462, 1024, 330, 232, 55, 12, 1

Offset

0,2

Comments

Row sums = A045891 starting with offset 1: (1, 3, 7, 16, 36,...).

Links

Table of n, a(n) for n=0..77.

Formula

Triangle read by rows, A007318 * A070909.

Example

First few rows of the triangle =
1;
2, 1;
4, 2, 1;
8, 3, 4, 1;
16, 4, 11, 4, 1;
32, 5, 26, 10, 6, 1;
64, 6, 57, 20, 22, 6, 1;
128, 7, 120, 35, 64, 21, 8, 1;
256, 8, 247, 56, 163, 56, 37, 8, 1;
512, 9, 502, 84, 382, 126, 130, 36, 10, 1;
1024, 10, 1013, 120, 848, 252, 386, 120, 56, 10, 1;
...

Crossrefs

Cf. A045891, A070909.

Sequence in context: A089606 A140740 A091918 * A138895 A138846 A235670

Adjacent sequences: A177950 A177951 A177952 * A177954 A177955 A177956

Keyword

nonn,tabl

Author

Gary W. Adamson, May 15 2010

Extensions

a(27) = 1 inserted and more terms from Georg Fischer, May 29 2023

Status

approved