[seqfan] Re: puzzled by central binomials in A094796

[Don Reble]

> I don't understand A094796.

> %S 1,3,1,9,15,6,27,108,135,42,81,594,1539,1530,456,243,2835,12555,25245,
> %T 22122,6120,729,12393,83835,281475,482436,383292,101520
> %C Let D_0(n)=binomial(2*n,n) and
>    D_{k+1}(n)=D_{k}(n+1)-D_{k}(n),
>    then D_{k}(n)=binomial(2*n,n)*(n+1)*(n+2)*...*(n+k)*P_{k}(n)
>    where P_{k} is a polynomial with integer coefficients of degree k.

    It should be
    "then D_{k}(n)*(n+1)*(n+2)*...*(n+k) = binomial(2*n,n)*P_{k}(n)"

    We might as well do the %U line.

%S A094796 1,3,1,9,15,6,27,108,135,42,81,594,1539,1530,456,243,2835,12555,
%T A094796 25245,22122,6120,729,12393,83835,281475,482436,383292,101520,
%U A094796 2187,51030,489888,2466450,6916833,10546200,7786692,1980720

-- 
Don Reble  djr at nk.ca