A136521 -id:A136521 - cp's OEIS frontend

A133200 A001263 * A136521 as infinite lower triangular matrices, where A001263 = the Narayana triangle and A136521 = an infinite lower triangular matrix with (1, 2, 2, 2, ...) in the main diagonal and the rest zeros.

1, 1, 2, 1, 6, 2, 1, 12, 12, 2, 1, 20, 40, 20, 2, 1, 30, 100, 100, 30, 2, 1, 42, 210, 350, 210, 42, 2, 1, 56, 392, 980, 980, 392, 56, 2, 1, 72, 672, 2352, 3528, 2352, 672, 72, 2, 1, 90, 1080, 5040, 10584, 10584, 5040, 1080, 90, 2

Offset: 1

Gary W. Adamson, Jan 02 2008

Row sums = A131428 starting (1, 3, 9, 27, 83, 263, ...).

			First few rows of the triangle:
  1;
  1,  2;
  1,  6,   2;
  1, 12,  12,   2;
  1, 20,  40,  20,   2;
  1, 30, 100, 100,  30,  2;
  1, 42, 210, 350, 210, 42, 2;
  ...

Cf. A001263, A136521.

A143956 Triangle read by rows, A000012 * A136521 * A000012; 1<=k<=n.

Original entry on oeis.org

1, 3, 2, 5, 4, 2, 7, 6, 4, 2, 9, 8, 6, 4, 2, 11, 10, 8, 6, 4, 2, 13, 12, 10, 8, 6, 4, 2, 15, 14, 12, 10, 8, 6, 4, 2, 17, 16, 14, 12, 10, 8, 6, 4, 2, 19, 18, 16, 14, 12, 10, 8, 6, 4, 2, 21, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2

Offset: 1

Gary W. Adamson & Roger L. Bagula, Aug 26 2008

Row sums = A028387: (1, 5, 11, 19, 29, 41,...)

			First few rows of the triangle =
1;
3, 2;
5, 4, 2;
7, 6, 4, 2;
9, 8, 6, 4, 2;
11, 10, 8, 6, 4, 2;
13, 12, 10, 8, 6, 4, 2;
15, 14, 12, 10, 8, 6, 4, 2;
...

Cf. A136521, A028387.

Triangle read by rows, A000012 * A136521 * A000012; 1<=k<=n. A136521 = an infinite lower triangular matrix with (1,2,2,2,...) in the main diagonal the rest zeros.

cp's OEIS Frontend

A133200 A001263 * A136521 as infinite lower triangular matrices, where A001263 = the Narayana triangle and A136521 = an infinite lower triangular matrix with (1, 2, 2, 2, ...) in the main diagonal and the rest zeros.

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