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wu :: forums    riddles    putnam exam (pure math) (Moderators: Icarus, william wu, SMQ, Grimbal, Eigenray, towr)    A Sequence « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: A Sequence  (Read 440 times) ThudnBlunder Uberpuzzler The dewdrop slides into the shining Sea     Gender: Posts: 4489 A Sequence   « on: Dec 6th, 2004, 7:18am » Quote Modify Define a sequence {un} by u0 = u1 = u2 = 1, and thereafter by the condition that         ( un       un+1 ) det (                   )  = n!       ( un+2    un+3 )   [smiley=forall.gif] n [smiley=eqslantgtr.gif] 0. Show that un is an integer [smiley=forall.gif] n.     IP Logged THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you. Barukh Uberpuzzler     Gender: Posts: 2276 Re: A Sequence   « Reply #1 on: Dec 8th, 2004, 6:41am » Quote Modify [smiley=square.gif] un = (n-1)un-2 [smiley=square.gif] « Last Edit: Dec 9th, 2004, 11:18pm by Barukh » IP Logged ThudnBlunder Uberpuzzler The dewdrop slides into the shining Sea     Gender: Posts: 4489 Re: A Sequence   « Reply #2 on: Dec 9th, 2004, 6:44pm » Quote Modify on Dec 8th, 2004, 6:41am, Barukh wrote: [smiley=square.gif] un = (n+1)un-2 [smiley=square.gif] Therefore u2 = 3u0   « Last Edit: Dec 9th, 2004, 6:54pm by ThudnBlunder » IP Logged THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you. Barukh Uberpuzzler     Gender: Posts: 2276 Re: A Sequence   « Reply #3 on: Dec 9th, 2004, 11:19pm » Quote Modify on Dec 9th, 2004, 6:44pm, THUDandBLUNDER wrote: Therefore u2 = 3u0   Sorry for the typo.   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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