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

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:
  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;
  ...

Crossrefs

Cf. A065941, A049310, A000032, A131775, A131776, A131777, A131778.

Sequence in context: A321436 A276167 A105522 * A342626 A358005 A078316

Adjacent sequences: A131771 A131772 A131773 * A131775 A131776 A131777

Keyword

tabl,sign

Author

Gary W. Adamson, Jul 14 2007

Status

approved