A127094 Triangle, reversal of A127093.

1, 2, 1, 3, 0, 1, 4, 0, 2, 1, 5, 0, 0, 0, 1, 6, 0, 0, 3, 2, 1, 7, 0, 0, 0, 0, 0, 1, 8, 0, 0, 0, 4, 0, 2, 1, 9, 0, 0, 0, 0, 0, 3, 0, 1, 10, 0, 0, 0, 0, 5, 0, 0, 2, 1, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

Offset: 1

Author

Gary W. Adamson, Jan 05 2007

Keywords

• nonn
• tabl

Examples

			First few rows of the triangle are:
  1;
  2, 1;
  3, 0, 1;
  4, 0, 2, 1;
  5, 0, 0, 0, 1;
  6, 0, 0, 3, 2, 1;
  ...
		

Links

• G. C. Greubel, Rows n = 1..30 of the triangle, flattened

Crossrefs

Cf. A000203 (row sums), A126988, A127093.

Programs

Magma

[n mod (k-n-1) - (n+1) mod (k-n-1) + 1: k in [1..n], n in [1..12]]; // G. C. Greubel, Mar 08 2021

Mathematica

Table[Mod[n, k-n-1] - Mod[n+1, k-n-1] +1, {n,12}, {k,n}]//Flatten (* G. C. Greubel, Mar 08 2021 *)

Sage

flatten([[n%(k-n-1) - (n+1)%(k-n-1) + 1 for k in [1..n]] for n in [1..12]]) # G. C. Greubel, Mar 08 2021

Formula

Reversed rows of A127093.

T(n, K) = mod(n, k-n-1) - mod(n+1, k-n-1) + 1. - Mats Granvik, Sep 02 2007