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

1,2

Links

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

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

Example

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;
  ...

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 *)

Prog

(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
(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

Crossrefs

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

Sequence in context: A071490 A194893 A141673 * A221642 A158906 A309229

Adjacent sequences: A127091 A127092 A127093 * A127095 A127096 A127097

Keyword

nonn,tabl

Author

Gary W. Adamson, Jan 05 2007

Status

approved