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A147294 Eigentriangle, row sums = A125275 2
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 (list; table; graph; refs; listen; history; text; internal format)
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 A335362 A059098

Adjacent sequences:  A147291 A147292 A147293 * A147295 A147296 A147297

KEYWORD

eigen,nonn,tabl

AUTHOR

Gary W. Adamson, Nov 05 2008

STATUS

approved

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Last modified September 28 01:20 EDT 2020. Contains 337388 sequences. (Running on oeis4.)