A152195 Triangle read by rows, A000012 * A152194

1, 2, 4, 1, 8, 4, 16, 11, 1, 32, 26, 6, 64, 57, 22, 1, 128, 120, 64, 8, 256, 247, 163, 37, 1, 512, 502, 382, 130, 10, 1024, 1013, 848, 386, 56, 1, 2048, 2036, 1816, 1024, 232, 12, 4096, 4083, 3797, 2510, 794, 79, 1

Offset

0,2

Comments

Row sums = A045623: (1, 2, 5, 12, 28, 64, 144,...).

Links

Table of n, a(n) for n=0..48.

Formula

Triangle read by rows, A000012 * A152194; A000012 = an infinite lower triangular matrix with all 1's. The operation performs partial sums of A152194 column terms.

Equals binomial transform of [1; 1; 1,1; 1,1; 1,1,1; 1,1,1;...], (an infinite lower triangular matrix with one 1 in two rows, two 1's in two rows, three 1's in two rows, etc...).

Example

First few rows of the triangle =
1;
2;
4, 1;
8, 4;
16, 11, 1;
32, 26, 6;
64, 57, 22, 1;
128, 120, 64, 8,
256, 247, 163, 37, 1;
512, 502, 382, 130, 10;
1024, 1013, 848, 386, 56, 1;
2048, 2036, 1816, 1024, 232, 12;
4096, 4083, 3797, 2510, 794, 79, 1;
...

Crossrefs

A152194, A045623

Sequence in context: A121685 A125810 A226504 * A133156 A207538 A348869

Adjacent sequences: A152192 A152193 A152194 * A152196 A152197 A152198

Keyword

nonn,tabl

Author

Gary W. Adamson, Nov 28 2008

Status

approved