A180339 Triangle by rows, A137710 * a diagonalized variant of A001906.

1, 2, 1, 4, 1, 3, 8, 2, 3, 8, 16, 4, 6, 8, 21, 32, 8, 12, 16, 21, 55, 64, 16, 24, 32, 42, 55, 144, 128, 32, 48, 64, 84, 110, 144, 377, 256, 64, 96, 128, 168, 220, 288, 377, 987

Offset: 0

Author

Gary W. Adamson, Aug 28 2010

Keywords

• nonn
• tabl
• more

Comments

Row sums = the even-indexed Fibonacci numbers starting (1, 3, 8, 21, ...).

Triangle A137710 has (1, 2, 4, 8, 16, ...) as the left border with all other columns = (1, 1, 2, 4, 8, 16,...). The eigensequence of this triangle = the odd-indexed Fibonacci numbers: (1, 3, 8, 21, 55, ...).

Row sums of n-th row = rightmost term of next row.

Examples

			First few rows of the triangle:
    1;
    2,   1;
    4,   1,   3;
    8,   2,   3,   8;
   16,   4,   6,   8,  21;
   32,   8,  12,  16,  21,  55;
   64,  16,  24,  32,  42,  55, 144;
  128,  32,  48,  64,  84, 110, 144, 377;
  256,  64,  96, 128, 168, 220, 288, 377, 987;
  512, 128, 192, 256, 336, 440, 576, 754, 987, 2584;
  ...
		

Crossrefs

Cf. A137710, A001906.

Formula

Let triangle A137710 = M as an infinite lower triangular matrix, with Q = a diagonalized variant of A001906 (1, 1, 3, 8, 21, 55,... as the main diagonal and the rest zeros). This triangle = M*Q.