A358549 Triangle read by rows where row n is reversed partial sums of row n of the Sierpinski triangle (A047999).

1, 2, 1, 2, 1, 1, 4, 3, 2, 1, 2, 1, 1, 1, 1, 4, 3, 2, 2, 2, 1, 4, 3, 3, 2, 2, 1, 1, 8, 7, 6, 5, 4, 3, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 8, 7, 6, 5, 4, 4, 4, 4, 4, 3, 2, 1, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1

Offset

0,2

Comments

Row reversal of A261363 (which is the main entry).

These sums can be formed by taking A047999 as a lower triangular matrix times an all-1's lower triangular matrix.

Links

Table of n, a(n) for n=0..90.

Formula

T(n,k) = Sum_{i=k..n} A047999(n,i).

Example

Triangle begins:
      k=0  1  2  3  4  5  6  7  8
  n=0:  1;
  n=1:  2, 1;
  n=2:  2, 1, 1;
  n=3:  4, 3, 2, 1;
  n=4:  2, 1, 1, 1, 1;
  n=5:  4, 3, 2, 2, 2, 1;
  n=6:  4, 3, 3, 2, 2, 1, 1;
  n=7:  8, 7, 6, 5, 4, 3, 2, 1;
  n=8:  2, 1, 1, 1, 1, 1, 1, 1, 1;
For n=5, row 5 here and row 5 of A047999 are:
  row      4, 3, 2, 2, 2, 1
  sums of  1, 1, 0, 0, 1, 1

Crossrefs

Cf. A047999, A261363 (rows reversed).

Cf. A001316 (column k=0), A000012 (main diagonal).

Sequence in context: A024680 A083531 A003417 * A158986 A079900 A188317

Adjacent sequences: A358546 A358547 A358548 * A358550 A358551 A358552

Keyword

nonn,tabl,easy

Author

Gary W. Adamson, Nov 21 2022

Status

approved