A114162 C(n,k)*Floor((n-k)/2)!.

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 4, 6, 4, 1, 2, 10, 10, 10, 5, 1, 6, 12, 30, 20, 15, 6, 1, 6, 42, 42, 70, 35, 21, 7, 1, 24, 48, 168, 112, 140, 56, 28, 8, 1, 24, 216, 216, 504, 252, 252, 84, 36, 9, 1, 120, 240, 1080, 720, 1260, 504, 420, 120, 45, 10, 1

Offset

0,5

Comments

Row sums are A081124.

Links

Table of n, a(n) for n=0..65.

Formula

T(n, k) = if(k<=n, C(n, k)floor((n-k)/2)!, 0).

Example

Triangle begins:
  1;
  1, 1;
  1, 2, 1;
  1, 3, 3, 1;
  2, 4, 6, 4, 1;
  2, 10, 10, 10, 5, 1;
  6, 12, 30, 20, 15, 6, 1;
  6, 42, 42, 70, 35, 21, 7, 1;

Crossrefs

Cf. A081124.

Sequence in context: A275678 A273108 A306405 * A259074 A162981 A297359

Adjacent sequences: A114159 A114160 A114161 * A114163 A114164 A114165

Keyword

easy,nonn,tabl

Author

Paul Barry, Nov 14 2005

Status

approved