A305474 Coefficients of Hilbert class polynomial H_D(x) as D runs through the numbers -3, -4, -7, -8, -11, -12, ... .

0, 1, -1728, 1, 3375, 1, -8000, 1, 32768, 1, -54000, 1, -121287375, 191025, 1, -287496, 1, 884736, 1, -681472000, -1264000, 1, 12771880859375, -5151296875, 3491750, 1, 14670139392, -4834944, 1, 12288000, 1, -16581375, 1, 1566028350940383, -58682638134

Offset

1,3

Links

Seiichi Manyama, Rows n = 1..250, flattened

Example

D   |                0             1         2  3
----+---------------------------------------------
-3  |                0,            1;
-4  |            -1728,            1;
-7  |             3375,            1;
-8  |            -8000,            1;
-11 |            32768,            1;
-12 |           -54000,            1;
-15 |       -121287375,       191025,        1;
-16 |          -287496,            1;
-19 |           884736,            1;
-20 |       -681472000,     -1264000,        1;
-23 |   12771880859375,  -5151296875,  3491750, 1;
-24 |      14670139392,     -4834944,        1;
-27 |         12288000,            1;
-28 |        -16581375,            1;
-31 | 1566028350940383, -58682638134, 39491307, 1;
-32 |      12167000000,    -52250000,        1;
-35 |    -134217728000,    117964800,        1;
-36 |   -1790957481984,   -153542016,        1;

Prog

(PARI) d(n) = 2*n+n%2;
T(n, k) = polcoef(polclass(-d(n)), k);
tabf(nn) = for(n=1, nn, for(k=0, poldegree(polclass(-d(n))), print1(T(n, k), ", ")); print)

Crossrefs

Cf. A014600, A014601, A032354, A305475 (constant).

Sequence in context: A020427 A232299 A280841 * A302142 A305494 A032354

Adjacent sequences: A305471 A305472 A305473 * A305475 A305476 A305477

Keyword

sign,tabf,look

Author

Seiichi Manyama, Jun 02 2018

Status

approved