A144154 A Fibonacci triangle, row sums = A023610

1, 2, 1, 3, 2, 2, 5, 3, 4, 5, 8, 5, 6, 6, 5, 13, 8, 10, 9, 10, 8, 21, 13, 16, 15, 15, 16, 13, 34, 21, 26, 24, 25, 24, 26, 21, 55, 34, 42, 39, 40, 40, 39, 42, 34

Offset

1,2

Comments

Row sums = A023610: (1, 3, 7, 15, 30, 58,...).

Links

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

Formula

The triangle as an infinite lower triangular matrix = A * B. A = a Fibonacci subsequences decrescendo triangle: (1; 2,1; 3,2,1; 5,3,2,1;...) and B = A127647, an infinite lower triangular matrix with the Fibonacci sequence as the main diagonal and the rest zeros.

Example

First few rows of the triangle =
1;
2, 1;
3, 2, 2;
5, 3, 4, 3;
8, 5, 6, 6, 5;
13, 8, 10, 9, 10, 8;
21, 13, 16, 15, 15, 16, 13;
34, 21, 26, 24, 25, 24, 26, 21;
... Row 4 = (5, 3, 4, 3) = termwise products of (5, 3, 2, 1) and (1, 1, 2, 3).

Crossrefs

A023610

Sequence in context: A210862 A298675 A365383 * A350768 A054710 A331779

Adjacent sequences: A144151 A144152 A144153 * A144155 A144156 A144157

Keyword

nonn,tabl

Author

Gary W. Adamson, Sep 12 2008

Status

approved