2nd try: Number of monomials in discriminant of a polynomial of degree n.

N. J. A. Sloane njas at research.att.com
Sat Dec 16 03:21:27 CET 2006


I forgot that this microsoft mouse can only hold a few characters
and truncates the rest

Dear seqfans, at present i have this:


%I A039744
%S A039744 1,2,5,18,73,338,1656,8512,45207,246448
%N A039744 Number of monomials in discriminant of a polynomial of degree n.
%C A039744 Each monomial in the discriminant of a polynomial of degree n is an integer constant ti\
mes the product of 2(n-1) of the coefficients,
ed into the sum of 2(n-1) integers in the range 0..\
n.
%e A039744 Discriminant of cubic K3*x^3 + K2*x^2 + K1*x + K0 is -27*K3^2*K0^2 + 18*K3*K2*K1*K0 - 4\
*K2^3*K0 - 4*K3*K1^3 + K2^2*K1^2 which contains 5 monomials.
%Y A039744 Sequence in context: A073157 A045612 A103940 this_sequence A006848 A111916 A118187
%Y A039744 Adjacent sequences: A039741 A039742 A039743 this_sequence A039745 A039746 A039747
%K A039744 hard,nonn,nice
%O A039744 1,2
%A A039744 Bill Daly (bill.daly(AT)tradition.co.uk)

A correspondent writes that
%C A039744 This sequence is labelled "Number of monomials in discriminant of a polynomial of degree n." It is claimed that it starts as "1,2,5,18,73,...".
I came upon this sequence in my own work and after repeated checks it seems to me that this sequence in fact starts as "1,2,5,16,59,...". Am I wrong?

Could ssomeone check this?

Neil






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