A130455 Final term in the rows of triangle A130454: a(n) = A130454(n,(n+1)(n+2)/2 - 1).

1, 1, 2, 6, 27, 175, 1523, 16744, 222792, 3482889, 62611360, 1273388483, 28925945020, 726303053021, 19985519004484, 598321182418026, 19368155278585653, 674303663351809096, 25130986416486383799

Offset

0,3

Comments

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.

Links

Table of n, a(n) for n=0..18.

Example

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; ...

Crossrefs

Cf. A130454.

Sequence in context: A070076 A227222 A370982 * A372346 A005270 A308444

Adjacent sequences: A130452 A130453 A130454 * A130456 A130457 A130458

Keyword

nonn

Author

Paul D. Hanna, May 26 2007

Status

approved