A179806 - OEIS

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A179806

Irregular triangle by rows, M*Q. M = triangle with (1,2,3,...) in every column, with the leftmost column shifted upwards one row. Q = a diagonalized variant of odd-indexed Fibonacci numbers.

1, 2, 3, 2, 4, 4, 5, 5, 6, 10, 13, 6, 8, 15, 26, 34, 7, 10, 20, 39, 68, 89, 8, 12, 25, 52, 102, 178, 233, 9, 14, 30, 65, 136, 267, 466, 610, 10, 16, 35, 78, 170, 356, 699, 1220, 1597

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OFFSET

1,2

COMMENTS

Row sums = the odd-indexed Fibonacci numbers, A001519, starting with offset 1.

Sums of row terms = (1, 2, 5, 13, 34, 89, ...).

For rows > 1, sum of n-th row terms = rightmost term of next row.

LINKS

Table of n, a(n) for n=1..46.

FORMULA

Triangle, M*Q; where M = a triangle with (1,2,3,...) in every column with the leftmost column shifted upwards one row. Q = an infinite matrix with the odd-indexed Fibonacci numbers as the right border: (1, 2, 5, 13,...) and

the rest zeros.

EXAMPLE

First few rows of the triangle:

3, 2;

4, 4, 5;

5, 6, 10, 13;

6, 8, 15, 26, 34;

7, 10, 20, 39, 68, 89;

8, 12, 25, 52, 102, 178, 233;

9, 14, 30, 65, 136, 267, 466, 610;

10, 16, 35, 78, 170, 356, 699, 1220, 1597;

11, 18, 40, 91, 204, 445, 932, 1830, 3194, 4181;