A358314 Triangle T(n,k) read by rows where T(2m - 1,k) = (A051845(2m - 1,k))/(2m - 1) and T(2m,k) = A051845(2m,k)/m for m > 0, k > 0.

1, 5, 7, 9, 10, 13, 15, 18, 19, 97, 99, 107, 111, 119, 121, 147, 149, 167, 173, 179, 183, 207, 211, 217, 223, 241, 243, 269, 271, 279, 283, 373, 374, 379, 381, 386, 387, 409, 410, 421, 424, 428, 430, 451, 453, 457, 460, 471

Offset: 1

Author

Alexander R. Povolotsky, Nov 08 2022

Keywords

• nonn
• tabf

Comments

The n-th row has n! elements.

Examples

			Triangle begins:
       k=1  k=2  k=3 ...
  n=1:   1;
  n=2:   5,   7;
  n=3:   9,  10, ...,  19;
  n=4:  97,  99, 107, ..., 283;
  n=5: 373, 374, 379, 381, ..., 471;
  ...
		

Crossrefs

Cf. A051845, left edge = A221741, right edge = A221740.

Formula

T(n,1) = 4*(((n+1)^(n+1)-(n+1))/((n+1)-1)^2-1)/((3-(-1)^n)*n) = A221741(n).

T(n,n!) = 4*((n-1)*(n+1)^(n+1)+1)/((3-(-1)^n)*n^3) = A221740(n).