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 A075029 Smallest initial number k of n consecutive numbers satisfying numdiv(k) > numdiv(k+1) > ... > numdiv(k+n-1). 4
 1, 4, 45, 80, 28974, 28974, 8489103, 80314575, 5196065775, 77506573550, 166622964149389, 489289301397948 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(11) > 10^12. - Donovan Johnson, Oct 13 2009 a(11) > 10^13. - Giovanni Resta, Jul 25 2013 a(13) > 2.64*10^15. - Jud McCranie, Mar 27 2019 REFERENCES J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 45, p. 17, Ellipses, Paris 2008. LINKS EXAMPLE a(4) = 80, as tau(80) = 10 > tau(81) = 5 > tau(82) = 4 > tau(83) = 2. PROG (PARI) n=2; for(k=1, 100, while(1, m=n; s=1; while(numdiv(m)=k, print1(n-1, ", "); break); n=n+1)) CROSSREFS Cf. A075028, A075031. Sequence in context: A024254 A167781 A173327 * A070225 A132998 A120075 Adjacent sequences:  A075026 A075027 A075028 * A075030 A075031 A075032 KEYWORD nonn,more AUTHOR Amarnath Murthy, Sep 02 2002 EXTENSIONS Edited by Ralf Stephan, Mar 21 2003 Definition corrected by Leroy Quet, Feb 23 2008 2 more terms from Lekraj Beedassy, Jul 13 2008 a(9)-a(10) from Donovan Johnson, Oct 13 2009 a(11)-a(12) from Jud McCranie, Mar 27 2019 STATUS approved

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Last modified May 31 13:01 EDT 2020. Contains 334748 sequences. (Running on oeis4.)