0,3

Row n of triangle A130454 has (n+1)(n+2)/2 terms, where row n+1 is generated by taking partial sums of row n and then appending n+1 zeros followed by the final term in the partial sums of row n for n>=0.

Triangle A130454 begins:

1;

1, 0, 1;

1, 1, 2, 0,0, 2;

1, 2, 4, 4, 4, 6, 0,0,0, 6;

1, 3, 7,11,15,21,21, 21, 21, 27, 0,0,0,0, 27;

1, 4,11,22,37,58,79,100,121,148,148,148,148,148,175, 0,0,0,0,0, 175; ...

Cf. A130454.

Sequence in context: A122938 A058712 A070076 this_sequence A005270 A080839 A011834

Adjacent sequences: A130452 A130453 A130454 this_sequence A130456 A130457 A130458

nonn

Paul D. Hanna (pauldhanna(AT)juno.com), May 26 2007