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wu :: forums    riddles    medium (Moderators: Icarus, ThudnBlunder, Eigenray, towr, Grimbal, william wu, SMQ)    LCM of "falling factorial" « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: LCM of "falling factorial"  (Read 467 times) O09 Newbie     Posts: 6 LCM of "falling factorial"   « on: Nov 6th, 2009, 8:08pm » Quote Modify Let a(n,k)=lcm(n,n-1,n-2,n-k+1). Let m be the greatest integer k such that a(n,1)<a(n,2)<a(n,3)<...<a(n,k). Prove that m < 3*Sqrt(n) and m>k if n>k!+k IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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