a(n+1) gives row sum of row n of this triangle.
Conjecture: a(n) for n>1 gives first differences of Lionel Levile's sequence A014644(n) for n>=3.
Conjecture: Final elements of the rows form A014644 except for duplicate 2.
Table of n, a(n) for n=1..9.
The triangle begins 1; 2; 3,3; 4,4,4,5,5,5; ...
Row 4: [4,4,4,5,5,5] is generated from row 3: [3,3] because there are (3) 4's and (3) 5's in row 4.
Sequence in context: A011834 A003513 A113731 * A183323 A153253 A174880
Adjacent sequences: A113673 A113674 A113675 * A113677 A113678 A113679
Floor van Lamoen and Paul D. Hanna, Nov 06 2005