A164961 Triangle read by rows: T[n,m] = quadruple factorials A001813(n) * binomials A007318(n,m).

1, 2, 2, 12, 24, 12, 120, 360, 360, 120, 1680, 6720, 10080, 6720, 1680, 30240, 151200, 302400, 302400, 151200, 30240, 665280, 3991680, 9979200, 13305600, 9979200, 3991680, 665280, 17297280, 121080960, 363242880, 605404800, 605404800

Offset: 0

Author

Tilman Neumann, Sep 02 2009

Keywords

• nonn
• tabl

Comments

Row sums give A052714. - Tilman Neumann, Sep 07 2009

Triangle T(n,k), read by rows, given by (2, 4, 6, 8, 10, 12, 14, ...) DELTA (2, 4, 6, 8, 10, 12, 14, ...) where DELTA is the operator defined in A084938. - Philippe Deléham, Jan 07 2012

Examples

			Triangle begins:
  1
  2, 2
  12, 24, 12
  120, 360, 360, 120
  1680, 6720, 10080, 6720, 1680
		

Links

• More terms. - _Tilman Neumann_, Sep 07 2009

Crossrefs

Cf. A001813, A007318, A052714 (row sums), A084938, A085881.

Formula

T(n,k) = A085881(n,k)*2^n. - Philippe Deléham, Jan 07 2012

Recurrence equation: T(n+1,k) = (4*n+2)*(T(n,k) + T(n,k-1)). - Peter Bala, Jul 15 2012

E.g.f.: 1/sqrt(1-4*x-4*x*y). - Peter Bala, Jul 15 2012