0,3

Row n of triangle A130457 has 3n+1 terms, where row n+1 is generated by taking partial sums of row n and then appending 2 zeros followed by the final term in the partial sums of row n, for n>=0.

Triangle A130457 begins:

1;

1, 0, 0, 1;

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

1, 2, 3, 5, 5, 5, 7, 0, 0, 7;

1, 3, 6, 11, 16, 21, 28, 28, 28, 35, 0, 0, 35;

1, 4, 10, 21, 37, 58, 86, 114, 142, 177, 177, 177, 212, 0, 0, 212; ...

Cf. A130457.

Sequence in context: A020066 A024719 A086637 this_sequence A003575 A043546 A080831

Adjacent sequences: A130455 A130456 A130457 this_sequence A130459 A130460 A130461

nonn

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