A159610 Triangle read by rows, n-th row = n terms of A000255: (1, 3, 11, 53, 309, ...); right border = A000166 starting (1, 2, 9, 44, 265, ...).

1, 3, 2, 11, 11, 9, 53, 53, 53, 44, 309, 309, 309, 309, 265, 2119, 2119, 2119, 2119, 2119, 1854, 16687, 16687, 16687, 16687, 16687, 14833, 148329, 148329, 148329, 148329, 148329, 148329, 148329, 133496

Offset: 0

Author

Gary W. Adamson, Apr 17 2009

Keywords

• nonn
• tabl

Comments

Row sums = A002469(n+2), representing the game of mousetrap with n cards; where nonzero terms of A002469 start: (1, 5, 31, 203, 1501, ...). A002469(n) = (n-2)*A000255(n-1) + A000166(n). Example 31 = 2*11 + 9 = A002469(4) = 2*A000255(3) + A000166(4).

Examples

			First few rows of the triangle:
      1;
      3,     2;
     11,    11,     9;
     53,    53,    53,    44;
    309,   309,   309,   309,   265;
   2119,  2119,  2119,  2119,  2119,  1854;
  16687, 16687, 16687, 16687, 16687, 16687, 14833;
  ...
		

Crossrefs

Cf. A002469, A000166, A000255.

Formula

Triangle read by rows, n-th row = n terms of A000255: (1, 3, 11, 53, 309, ...); right border = A000166 starting (1, 2, 9, 44, 265, ...)