|
|
A335158
|
|
Define b(n) by 1/sm(w) = Sum_{n >= 0} b(3*n-1)*w^(3*n-1), where sm(w) is the elliptic function defined in A104133; a(n) = denominator of b(3*n-1).
|
|
3
|
|
|
1, 6, 252, 4536, 2476656, 3714984, 35574686784, 15246294336, 582713369521920, 1123804355506560, 2048470579217357568, 35116638500868986880, 283061106066827553906954240, 4665842407694959679784960, 1533625072670071687067878072320, 394360732972304148103168647168
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
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.
|
|
LINKS
|
|
|
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) aden(nn) = my(A = O(x)); for(i=0, nn, A = intformal( (1 - intformal(A^2))^2) ); my(v=Vec(1/A)); apply(x->denominator(x), vector(#v\3, k, v[3*k-2]));
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|