%I A046757
%S A046757 1,2,1,5,5,1,30,30,10,1,272,272,102,17,1,3250,3250,1300,260,26,1,47952,
%T A046757 47952,19980,4440,555,37,1,840350,840350,360150,85750,12250,1050,50,1,
%U A046757 17039360,17039360,7454720,1863680,291200,29120,1820,65,1,392203458
%N A046757 Triangle of coefficients of certain polynomials (exponents in decreasing 
               order).
%F A046757 a(n, n)= 1, a(n, m)= (1+n^2)*binomial(n, m)*n^(n-m-2), n>m >= 0, else 
               0.
%e A046757 {1}; {2,1}; {5,5,1}; {30,30,10,1}; {272,272,102,17,1}; .... E.g. third 
               row {5,5,1} corresponds to polynomial q{3,x)= 5*x^2+5*x+1.
%Y A046757 x*p(k-1, -x)/q(k, -x), with the row polynomials p(n, x) from triangle 
               A033842(n, m) is for k=1..5 G.f. for A000079 (powers of two), A039717, 
               A043553, A045624, A046088, respectively.
%Y A046757 Sequence in context: A124733 A137597 A059340 this_sequence A118244 A108410 
               A058116
%Y A046757 Adjacent sequences: A046754 A046755 A046756 this_sequence A046758 A046759 
               A046760
%K A046757 easy,nonn,tabl
%O A046757 0,2
%A A046757 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)