|
| |
|
|
A097707
|
|
Part of n! composed of prime factors of form 4k+3.
|
|
0
|
|
|
|
1, 1, 3, 3, 3, 9, 63, 63, 567, 567, 6237, 18711, 18711, 130977, 392931, 392931, 392931, 3536379, 67191201, 67191201, 1411015221, 15521167431, 356986850913, 1070960552739, 1070960552739, 1070960552739, 28915934923953
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,3
|
|
|
COMMENTS
|
log(a(n)) ~ 1/2 log n!.
|
|
|
LINKS
|
Table of n, a(n) for n=1..27.
P. Pollack, Analytic and Combinatorial Number Theory Course Notes, p. 75. [?Broken link]
P. Pollack, Analytic and Combinatorial Number Theory Course Notes, p. 75.
|
|
|
PROG
|
(PARI) a(n)=local(f); f=factor(n!); prod(k=1, matsize(f)[1], if(f[k, 1]%4<>3, 1, f[k, 1]^f[k, 2]))
|
|
|
CROSSREFS
|
Equals A097706(A000142(n)).
Sequence in context: A299189 A231651 A160589 * A240533 A115282 A321507
Adjacent sequences: A097704 A097705 A097706 * A097708 A097709 A097710
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Ralf Stephan, Aug 30 2004
|
|
|
EXTENSIONS
|
Typo in PARI code fixed by Colin Barker, Mar 12 2015
|
|
|
STATUS
|
approved
|
| |
|
|
