A158440 Triangle T(n,k) read by rows: row n contains n times n+1 followed by n 1's.

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

Offset: 1

Author

Paul Curtz, Mar 19 2009

Keywords

• nonn
• easy
• tabf

Comments

These are essentially the unreduced numerators of the coefficients of P(2n-1,x) of A130679, with denominators represented by A122197.

Examples

			The triangle has 2n columns in row n. It starts:
  2, 1;
  3, 3, 1, 1;
  4, 4, 4, 1, 1, 1;
  5, 5, 5, 5, 1, 1, 1, 1;
		

Crossrefs

Cf. A003057.

Programs

Mathematica

Flatten[Table[Join[PadRight[{},n,n+1],PadRight[{},n,1]],{n,12}]] (* Harvey P. Dale, Feb 18 2013 *)

Extensions

Edited by R. J. Mathar, Apr 09 2009