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

0,2

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).

Links

Table of n, a(n) for n=0..34.

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, ...)

Example

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.

Sequence in context: A072634 A086194 A258386 * A074246 A134426 A122672

Adjacent sequences: A159607 A159608 A159609 * A159611 A159612 A159613

Keyword

nonn,tabl

Author

Gary W. Adamson, Apr 17 2009

Status

approved