A147293 - OEIS

A147293

Triangle read by rows, A011782 convolved with A001519.

1, 1, 2, 2, 2, 5, 4, 4, 5, 13, 8, 8, 10, 13, 34, 16, 16, 20, 26, 34, 89, 32, 32, 40, 52, 68, 89, 233, 64, 64, 80, 104, 136, 178, 233, 610, 128, 128, 160, 208, 272, 356, 466, 610, 1597, 256, 256, 320, 416, 544, 712, 932, 1220, 1597, 4181

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OFFSET

0,3

COMMENTS

Row sums = A061667: (1, 3, 9, 26, 73, 201, ...).

LINKS

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

FORMULA

Let M = an infinite lower triangular matrix with A011782: (1, 1, 2, 4, 8, 16, ...) in every column; and Q = an infinite lower triangular matrix with odd-indexed Fibonacci numbers, A001519: (1, 2, 5, 13, 34, 89, ...) as the main column and the rest zeros.

A147293 = M * Q.

EXAMPLE

First few rows of the triangle =

1, 2;

2, 2, 5;

4, 4, 5, 13;

8, 8, 10, 13, 34;

16, 16, 20, 26, 34, 89;

32, 32, 40, 52, 68, 89, 233;

64, 64, 80, 104, 136, 178, 233, 610;

128, 128, 160, 208, 272, 356, 466, 610, 1597;

256, 256, 320, 416, 544, 712, 932, 1220, 1597, 4181;