OFFSET
0,5
COMMENTS
Note that the expansions of 1/sm(w) and cm(w)/sm(w) on page 4 of the Adams reference agree apart from signs.
REFERENCES
Oscar S. Adams, Elliptic Functions Applied to Conformal World Maps, Special Publication No. 112 of the U.S. Coast and Geodetic Survey, 1925. See pp. 3-4.
EXAMPLE
1/sm(w) = w^(-1) + (1/6)*w^2 - (1/252)*w^5 - (1/4536)*w^8 + (11/2476656)*w^11 + (1/3714984)*w^14 - (193/35574686784)*w^17 - (5/15246294336)*w^20 + (3851/582713369521920)*w^23 + (449/1123804355506560)*w^26 - ...
PROG
(PARI) anum(nn) = my(A = O(x)); for(i=0, nn, A = intformal( (1 - intformal(A^2))^2) ); my(v=Vec(1/A)); apply(x->numerator(x), vector(#v\3, k, v[3*k-2]));
CROSSREFS
KEYWORD
sign,frac
AUTHOR
Michel Marcus and N. J. A. Sloane, Jun 08 2020.
STATUS
approved