A147294 Eigentriangle, row sums = A125275.

1, 1, 1, 2, 3, 2, 5, 9, 10, 7, 14, 28, 40, 49, 31, 42, 90, 150, 245, 279, 162, 132, 297, 550, 1078, 1674, 1782, 968, 429, 1001, 2002, 4459, 8463, 12474, 12584, 6481, 1430, 3432, 7280, 17836, 39060, 71280, 100672, 97215, 47893

Offset

1,4

Comments

Row sums = A125275 starting with offset 1: (1, 2, 7, 31, 162, 968,...).

Left border = A000108, right border = A125275.

Sum of n-th row terms = rightmost term of next row.

Links

Table of n, a(n) for n=1..45.

Formula

A147294 = Triangle A039599 * (A125275 * 0^(n-k)); where (A125275 * 0^(n-k)) = an infinite lower triangular matrix with A125275: (1, 1, 2, 7, 31, 162,...) as the main diagonal and the rest zeros.

Example

First few rows of the triangle =
1;
1, 1;
2, 3, 2;
5, 9, 10, 7;
14, 28, 40, 49, 31;
42, 90, 150, 245, 279, 162;
132, 297, 550, 1078, 1674, 1782, 968;
429, 1001, 2002, 4459, 8463, 12474, 12584, 6481;
1430, 3432, 7280, 17836, 39060, 71280, 100672, 97215, 47893;
...
Row 4 = (5, 9, 10, 7) = termwise products of (5, 9, 5, 1) and (1, 1, 2, 7)

Crossrefs

A125275, Cf. A000108, A039599

Sequence in context: A337354 A293944 A050159 * A296662 A353299 A349790

Adjacent sequences: A147291 A147292 A147293 * A147295 A147296 A147297

Keyword

eigen,nonn,tabl

Author

Gary W. Adamson, Nov 05 2008

Status

approved