VOOZH
about
URL: https://oeis.org/A083002
⇱ A083002 - OEIS
login
A083002
Smallest oblong number having at least n distinct prime divisors.
4
2, 6, 30, 210, 4290, 43890, 510510, 53501910, 1487683470, 64790866140, 530514844860, 126408523110870, 3425113062060690, 660393717163700520, 26657280574571657010, 3448055881024876471350, 308480161111936386482910
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,1
COMMENTS
a(18) <= 32521466098360753728404190. -
Donovan Johnson
, Oct 05 2011
Oblong numbers are those of the form n(n+1) =
A002378
(n) = 2*
A000217
(n).
LINKS
Table of n, a(n) for n=1..17.
EXAMPLE
a(4)= 210 = 2*3*5*7.
PROG
(PARI) {odf(m) = print1(0", "); for(n=1, m, k=1; while(omega(k*(k+1))!=n, k++); print1(k*(k+1)", ")) }
CROSSREFS
Cf.
A002378
,
A059958
.
Sequence in context:
A071290
A185693
A093449
*
A192929
A375534
A077176
Adjacent sequences:
A082999
A083000
A083001
*
A083003
A083004
A083005
KEYWORD
nonn
AUTHOR
Jason Earls
, May 30 2003
EXTENSIONS
More terms from
Don Reble
, Jun 03 2003
a(15)-a(16) from
Donovan Johnson
, Apr 26 2009
a(17) from
Donovan Johnson
, Sep 15 2010
STATUS
approved