A131774 - OEIS

A131774

2*A065941 - A049310.

1, 2, 1, 1, 2, 1, 2, 0, 4, 1, 1, 2, 3, 4, 1, 2, -1, 8, 2, 6, 1, 1, 2, 4, 8, 7, 6, 1, 2, -2, 12, 0, 20, 6, 8, 1, 1, 2, 4, 12, 15, 20, 13, 8, 1, 2, -3, 16, -6, 42, 9, 40, 12, 10, 1

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OFFSET

1,2

COMMENTS

Row sums = the Lucas numbers, A000032, starting (1, 3, 4, 7, 11, ...). Generally, N*A065941 - (N-1)*A049310 = triangles with row sums = Fibonacci-like sequences starting (1, (N+1), (N+1+1), ...). With N = 2, row sums of the triangle A131774 = (1, 3, 4, 7, ...).

LINKS

Table of n, a(n) for n=1..55.

FORMULA

2*A065941 - A049310 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle:

2, 1;

1, 2, 1;

2, 0, 4, 1;

1, 2, 3, 4, 1;

2, -1, 8, 2, 6, 1;

1, 2, 4, 8, 7, 6, 1;