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FORMULAĮxpansion of 2 * x * phi(x) * psi(x^4) * phi(x^4) in powers of x where phi(), psi() are Ramanujan theta functions. Tunnell, A classical Diophantine problem and modular forms of weight 3/2, Invent. Karl Rubin, Elliptic curves and right triangles Sheffield, Pythagorean triples and the congruent number problem Noe, Table of n, a(n) for n=1.10000Ĭlay Mathematics Institute, The Birch and Swinnerton-Dyer Conjectureĭepartment of Pure Maths., Univ.

Related to primitive congruent numbers A006991.Īssuming the Birch and Swinnerton-Dyer conjecture, the odd number 2n-1 is a congruent number if it is squarefree and a(n) = 2* A072069(n).

(Greetings from The On-Line Encyclopedia of Integer Sequences!)