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!)
A061754 Numbers k such that k! is divisible by (k+1)^6. 8
23, 29, 35, 39, 44, 47, 53, 55, 59, 62, 63, 69, 71, 74, 76, 79, 80, 83, 87, 89, 90, 95, 97, 98, 99, 103, 104, 107, 109, 111, 116, 118, 119, 124, 125, 127, 129, 131, 132, 134, 135, 139, 142, 143, 146, 149, 151, 152, 153, 155, 159, 160, 161, 164, 167, 168, 169, 170 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
MAPLE
filter:= proc(n) local q, t, p, i, w, F;
F:= ifactors(n+1)[2];
for q in F do
p:= q[1];
t:= 0:
for i from 1 do
w:= floor(n/p^i);
if w = 0 then return false fi;
t:= t+w;
if t >= 6*q[2] then break fi;
od;
od;
true
end proc:
select(filter, [$1..200]); # Robert Israel, Jul 01 2018
MATHEMATICA
Select[Range[200], IntegerQ[ #!/(# + 1)^6] &]
PROG
(PARI) isok(n) = !(n! % (k+1)^6); \\ Michel Marcus, Jul 02 2018
(Magma) [n: n in [1..200]| Factorial(n) mod (n+1)^6 eq 0]; // Vincenzo Librandi, Jul 02 2018
CROSSREFS
Sequence in context: A344375 A153631 A082943 * A180066 A353286 A101784
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Jun 21 2001
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 March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)