A305500 a(n) = (-1) * j((1 + sqrt(-A003173(n+2)))/2).

0, 3375, 32768, 884736, 884736000, 147197952000, 262537412640768000

Offset

1,2

Links

Table of n, a(n) for n=1..7.

Eric Weisstein's World of Mathematics, Heegner Number and j-Function

Formula

a(n) = A199743(n-1)^3 for n > 1.

Example

j((1+sqrt(  -3))/2) =                   0.
j((1+sqrt(  -7))/2) =               -3375 = (-1) *     15^3.
j((1+sqrt( -11))/2) =              -32768 = (-1) *     32^3.
j((1+sqrt( -19))/2) =             -884736 = (-1) *     96^3.
j((1+sqrt( -43))/2) =          -884736000 = (-1) *    960^3.
j((1+sqrt( -67))/2) =       -147197952000 = (-1) *   5280^3.
j((1+sqrt(-163))/2) = -262537412640768000 = (-1) * 640320^3.

Crossrefs

Cf. A003173, A032354, A199743, A305475.

Sequence in context: A218908 A164521 A251153 * A250568 A183823 A114769

Adjacent sequences: A305497 A305498 A305499 * A305501 A305502 A305503

Keyword

nonn,fini,full

Author

Seiichi Manyama, Jun 03 2018

Status

approved