A050174 T(n,k) = S(n,k,k-2), 1<=k<=n-2, n >= 3, array S as in A050157.

1, 2, 2, 3, 5, 5, 4, 9, 14, 9, 5, 14, 28, 28, 14, 6, 20, 48, 62, 48, 20, 7, 27, 75, 117, 117, 75, 27, 8, 35, 110, 200, 242, 200, 110, 35, 9, 44, 154, 319, 451, 451, 319, 154, 44, 10, 54, 208, 483, 780, 912, 780, 483, 208, 54, 11, 65, 273, 702, 1274

Offset: 3

Author

Clark Kimberling

Keywords

• nonn
• tabl

Comments

S(n,k,k) = C(n,k) for 1<=k<=n, n >= 1; cf. Pascal's triangle, A007318.

S(n,k,k-1), 1<=k<=n-1, n >= 2 is given by A014430.

Examples

			Rows:
1;
2, 2;
3, 5, 5;
4, 9, 14, 9;
5, 14, 28, 28, 14;
...
		

Crossrefs

Cf. A007318, A014430.

Formula

T(n,k) = C(n,k) - n for k>1, and T(n, 1) = n - 2. - Andrei Asinowski, Jan 27 2016

Extensions

Offset changed to 3 by Michel Marcus, Jan 29 2016