A144154 - OEIS

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

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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 =

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