A059718 Triangle T(n,k), 0<=k<=n, giving coefficients when output sequence O_0, O_1, O_2, ... from transformation described in A059216 is expressed in terms of input sequence I_0, I_1, I_2, ...

1, 1, 1, 1, 2, 2, 1, 3, 5, 5, 1, 4, 9, 16, 15, 1, 5, 14, 35, 59, 55, 1, 6, 20, 64, 152, 258, 239, 1, 7, 27, 105, 319, 767, 1296, 1199, 1, 8, 35, 160, 590, 1820, 4356, 7362, 6810, 1, 9, 44, 231, 1000, 3751, 11514, 27583, 46609, 43108, 1, 10, 54, 320, 1589

Offset: 0

Author

N. J. A. Sloane, Feb 08 2001

Keywords

• nonn
• tabl
• changed

Examples

			The triangle begins as:
  1;
  1, 1;
  1, 2, 2;
  1, 3, 5,  5;
  1, 4, 9, 16, 15;
  ...
For example, O_4 = I_4 + 4*I_3 + 9*I_2 + 16*I_1 + 15*I_0.
		

Crossrefs

Cf. A059720, A059216.