

A085881


Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by A001147(n).


2



1, 1, 1, 3, 6, 3, 15, 45, 45, 15, 105, 420, 630, 420, 105, 945, 4725, 9450, 9450, 4725, 945, 10395, 62370, 155925, 207900, 155925, 62370, 10395, 135135, 945945, 2837835, 4729725, 4729725, 2837835, 945945, 135135, 2027025
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OFFSET

0,4


LINKS

Table of n, a(n) for n=0..36.


FORMULA

Triangle given by [1, 2, 3, 4, 5, 6, ...] DELTA [1, 2, 3, 4, 5, 6, ...] where DELTA is Deléham's operator defined in A084938.
T(n,k) = A164961(n,k)/2^n.  Philippe Deléham, Jan 07 2012
Recurrence equation: T(n+1,k) = (2*n+1)*(T(n,k) + T(n,k1)).  Peter Bala, Jul 15 2012
E.g.f.: 1/sqrt(12*x2*x*y).  Peter Bala, Jul 15 2012
G.f.: W(0), where W(k) = 1  (k+1)*x*(1+y)/( (k+1)*x*(1+y)  1/W(k+1) ); (continued fraction).  Sergei N. Gladkovskii, Nov 03 2013


EXAMPLE

Triangle starts
1,
1, 1,
3, 6, 3,
15, 45, 45, 15,
105, 420, 630, 420, 105,
945, 4725, 9450, 9450, 4725, 945,
...


CROSSREFS

Cf. A084938, A164961
Sequence in context: A109044 A205844 A205865 * A127574 A169842 A185588
Adjacent sequences: A085878 A085879 A085880 * A085882 A085883 A085884


KEYWORD

nonn,tabl


AUTHOR

N. J. A. Sloane, Aug 17 2003


STATUS

approved



