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A164961 Triangle read by rows: T[n,m] = quadruple factorials A001813(n) * binomials A007318(n,m) 1

%I

%S 1,2,2,12,24,12,120,360,360,120,1680,6720,10080,6720,1680,30240,

%T 151200,302400,302400,151200,30240,665280,3991680,9979200,13305600,

%U 9979200,3991680,665280,17297280,121080960,363242880,605404800,605404800

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

%C Row sums give A052714 [From _Tilman Neumann_, Sep 07 2009]

%C 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

%H <a href="http://www.tilman-neumann.de/science.html">More terms</a> [From _Tilman Neumann_, Sep 07 2009]

%F T(n,k) = A085881(n,k)*2^n. - _Philippe Deléham_, Jan 07 2012

%F Recurrence equation: T(n+1,k) = (4*n+2)*(T(n,k) + T(n,k-1)). - _Peter Bala_, Jul 15 2012

%F E.g.f.: 1/sqrt(1-4*x-4*xy). - _Peter Bala_, Jul 15 2012

%e Triangle begins :

%e 1

%e 2, 2

%e 12, 24, 12

%e 120, 360, 360, 120

%e 1680, 6720, 10080, 6720, 1680

%Y Cf. A084938, A085881

%K nonn,tabl

%O 0,2

%A _Tilman Neumann_, Sep 02 2009

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Last modified August 17 03:38 EDT 2017. Contains 290631 sequences.