A158945 Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36, ...) and the rest zeros.

1, 0, 1, 2, 0, 1, 0, 2, 0, 3, 3, 0, 2, 0, 5, 0, 3, 0, 6, 0, 10, 4, 0, 3, 0, 10, 0, 19, 0, 4, 0, 9, 0, 20, 0, 36, 5, 0, 4, 0, 15, 0, 38, 0, 69, 0, 5, 0, 12, 0, 30, 0, 72, 0, 131, 6, 0, 5, 0, 20, 0, 57, 0, 138, 0, 250, 0, 6, 0, 15, 0, 40, 0, 108, 0, 262, 0, 476

Offset

1,4

Comments

As a property of eigentriangles, sum of n-th row terms = rightmost term of next row. Right border = A158943 prefaced with a 1: (1, 1, 1, 3, 5, 10, 19, 36, 69, ...).

Links

Table of n, a(n) for n=1..78.

Formula

Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36, ...) and the rest zeros.

Example

First few rows of the triangle:
  1;
  0, 1;
  2, 0, 1;
  0, 2, 0,  3;
  3, 0, 2,  0,  5;
  0, 3, 0,  6,  0, 10;
  4, 0, 3,  0, 10,  0, 19;
  0, 4, 0,  9,  0, 20,  0,  36;
  5, 0, 4,  0, 15,  0, 38,   0,  69;
  0, 5, 0, 12,  0, 30,  0,  72,   0, 131;
  6, 0, 5,  0, 20,  0, 57,   0, 138,   0, 250;
  0, 6, 0, 15,  0, 40,  0, 108,   0, 262,   0, 476;
  7, 0, 6,  0, 25,  0, 76,   0, 207,   0, 500,   0, 907;
  ...
Row 5 = (3, 0, 2, 0, 5) = termwise products of (3, 0, 2, 0, 1) and (1, 1, 1, 3, 5); where (3, 0, 2, 0, 1) = row 5 of triangle A158944.

Crossrefs

Cf. A158943, A158944.

Sequence in context: A084929 A293575 A054014 * A156667 A178090 A110914

Adjacent sequences: A158942 A158943 A158944 * A158946 A158947 A158948

Keyword

nonn,tabl

Author

Gary W. Adamson, Mar 31 2009

Status

approved