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