1,4

Row sums = A000982 starting with offset 1: (1, 2, 5, 8, 13, 18, 25,...).

Triangle read by rows, A000012(signed) * A145677 * A000012. A000012(signed) = an infinite lower triangular matrix with (1,-1,1,-1,...) in every column. A145677 = an infinite lower triangular matrix with all 1's as the left border, right border = (1, 1, 2, 3, 4, 5,...), and the rest zeros.

First few rows of the triangle =

1;

1, 1;

2, 1, 2;

2, 2, 1, 3;

3, 2, 3, 1, 4;

3, 3, 2, 4, 1, 5;

4, 3, 4, 2, 5, 1, 6;

4, 4, 3, 5, 2, 6, 1, 7;

5, 4, 5, 3, 6, 2, 7, 1, 8;

5, 5, 4, 6, 3, 7, 2, 8, 1, 9;

6, 5, 6, 4, 7, 3, 8, 2, 9, 1, 10;

6, 6, 5, 7, 4, 8, 3, 9, 2, 10, 1, 11;

7, 6, 7, 5, 8, 4, 9, 3, 10, 2, 11, 1, 12;

7, 7, 6, 8, 5, 9, 4, 10, 3, 11, 2, 12, 1, 13;

...

Cf. A145677, A000982

Sequence in context: A060764 A105149 A068307 this_sequence A023645 A054571 A126865

Adjacent sequences: A158943 A158944 A158945 this_sequence A158947 A158948 A158949

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 31 2009