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A101506 Numbers n such that log(n!) is closer to an integer than is log(m!) for any m with 2<m<n. 2
3, 4, 10, 12, 25, 545, 589, 2075, 4883, 7999, 23074, 31672, 41958, 904492, 1356678, 2738806, 2774896, 53721092, 226271724, 3775956307, 15100042131, 66836971558 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
a(k)! is the closest factorial to exp(A101507(k)). The next term is > 10^11.
LINKS
EXAMPLE
a(1)=3 because log(3!)=1.79176 is closer to 2 than is log(2!)=0.693147 to 1.
a(2)=4: log(4!)=3.178054, a(3)=10: log(10!)=15.1044126, a(4)=12: log(12!)=19.987214, a(5)=25: log(25!)=58.003605.
PROG
(PARI) r=9; for(n=4, 1e7, t=lngamma(n); t=abs(t-round(t)); if(t<r, r=t; print1(n-1", "))) \\ Charles R Greathouse IV, Apr 28 2014
CROSSREFS
Cf. A101507, A046654 nearest integer to Sum_{k=1..n} log(k).
Sequence in context: A362743 A259559 A050187 * A362553 A360620 A092434
KEYWORD
more,nonn
AUTHOR
Hugo Pfoertner, Dec 20 2004
STATUS
approved

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Last modified July 17 19:13 EDT 2024. Contains 374377 sequences. (Running on oeis4.)