

A259685


Let m = A062695(n); a(n) is value of b in decomposition of m defined in Comments.


0



2, 4, 2, 56, 1, 2, 1, 1, 6, 1, 4, 4, 104, 2, 4, 1, 12, 4, 1, 8, 2, 6, 1, 2, 5, 1, 2, 204, 1, 2, 4, 1, 4, 3, 2, 1, 1, 12, 20, 3, 20, 4, 40, 3, 132, 6, 3, 2, 6, 2, 82, 17, 11, 4, 333, 14, 12, 6, 5, 2, 1, 52, 1, 12, 2, 29, 1, 1, 1972, 7, 24, 1504, 20, 360, 10, 2952
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OFFSET

1,1


COMMENTS

Let m = A062695(n). Write m*y^2 = x^3  x as m*square = A*B*(AB)*(A+B) where A and B are the numerator and denominator of x. Then A, B, AB, A+B have the form s*a^2, t*b^2, u*c^2, v*d^2 for some decomposition of m as s*t*u*v and some natural numbers a,b,c,d. These eight numbers are given in A259680A259687.


LINKS

Table of n, a(n) for n=1..76.
G. Kramarz, All congruent numbers less than 2000, Math. Annalen, 273 (1986), 337340.
G. Kramarz, All congruent numbers less than 2000, Math. Annalen, 273 (1986), 337340. [Annotated, corrected, scanned copy]


CROSSREFS

Cf. A003273, A006991, A062695, A259680A259687.
Sequence in context: A210457 A006496 A263931 * A301460 A130172 A303320
Adjacent sequences: A259682 A259683 A259684 * A259686 A259687 A259688


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Jul 04 2015


EXTENSIONS

More terms from Jinyuan Wang, Jan 01 2021


STATUS

approved



