Get formula for the sum of integers raised to the kth power
%By Chukwunomnso Agunwamba
%Get formula for the sum of integers raised to the kth power
%You can use this to get the formula of the sum of a discrete polynomial, v.
%In that case, specify the v coefficients in increasing powers.
%The output, S, is the sum formula.
%The Lth column of D is the formula for summing v^(L-1).
##EXAMPLES:
##sumkthpw(3); %get the formula for summing 3rd powers of integers
##sumkthpw(5); %get the formula for summing fifth powers of integers
##sumkthpw('',[0 1]); %get the formula for summing 0+1*V
##sumkthpw('',[2 1]); %get the formula for summing 2+1*V
##sumkthpw('',[1 2 3]); %get the formula for summing 1+2*V+3*V^2
##sumkthpw('',[1 2 3 4]); %get the formula for summing 1+2*V+3*V^2+4*V^3
##and so on...
##General Syntax:
##[S,D]=sumkthpw(k,v);