login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A305500 a(n) = (-1) * j((1 + sqrt(-A003173(n+2)))/2). 2
0, 3375, 32768, 884736, 884736000, 147197952000, 262537412640768000 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 7 05:59 EDT 2022. Contains 357270 sequences. (Running on oeis4.)