A094525 Square array of binomial transforms read by antidiagonals.

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 13, 13, 5, 1, 1, 6, 21, 28, 21, 6, 1, 1, 7, 31, 49, 49, 31, 7, 1, 1, 8, 43, 76, 89, 76, 43, 8, 1, 1, 9, 57, 109, 141, 141, 109, 57, 9, 1, 1, 10, 73, 148, 205, 226, 205, 148, 73, 10, 1, 11, 91, 193, 281

Offset

0,5

Comments

Rows (and columns) are binomial transforms of [1,k,k(k-1),0,0,0,...], k>=0. One of a family of arrays that converge to A088699.

Links

Table of n, a(n) for n=0..69.

Formula

Square array T(n, k) defined by T(n, k)=1+kn+k(k-1)n(n-1)/2

Example

Rows start
1,1,1,1,1,...
1,2,3,4,5,...
1,3,7,13,21,...
1,4,13,28,29,...
1,5,21,49,89,...

Crossrefs

Cf. A094526.

Sequence in context: A167172 A173075 A166293 * A130671 A114197 A108350

Adjacent sequences: A094522 A094523 A094524 * A094526 A094527 A094528

Keyword

easy,nonn,tabl

Author

Paul Barry, May 07 2004

Status

approved