A132775 A007818 * A132774.

1, 3, 3, 5, 10, 5, 7, 21, 21, 7, 9, 36, 54, 36, 9, 11, 55, 110, 110, 55, 11, 13, 78, 195, 260, 195, 78, 13, 15, 105, 315, 525, 525, 315, 105, 15, 17, 136, 476, 952, 1190, 952, 476, 136, 17, 19, 171, 684, 1596, 2394, 2394, 1596, 684, 171, 19

Offset

0,2

Comments

Row sums = A014480: (1, 6, 20, 56, 144, 352, 832, ...).

Links

Table of n, a(n) for n=0..54.

Formula

Binomial transform of A132774. T(n,k) = (2n+1) * A007318(n,k).

Example

First few rows of the triangle:
   1;
   3,   3;
   5,  10,   5;
   7,  21,  21,   7;
   9,  36,  54,  36,   9;
  11,  55, 110, 110,  55,  11;
  13,  78, 195, 260, 195,  78,  13;
  15, 105, 315, 525, 525, 315, 105, 15;
  ...
Row 3 = (7, 21, 21, 7) = 7 * (1, 3, 3, 1).

Crossrefs

Cf. A132774, A014480.

Sequence in context: A000198 A202674 A027170 * A174102 A217521 A331925

Adjacent sequences: A132772 A132773 A132774 * A132776 A132777 A132778

Keyword

nonn,tabl

Author

Gary W. Adamson, Aug 29 2007

Status

approved