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wu :: forums    riddles    medium (Moderators: SMQ, Icarus, Grimbal, william wu, Eigenray, towr, ThudnBlunder)    Recursive Polynomial « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Recursive Polynomial  (Read 564 times) Ronno Junior Member     Gender: Posts: 140 Recursive Polynomial   « on: Apr 8th, 2010, 9:10pm » Quote Modify Define a sequence <x_n> by: x_1=1 x_2=x x_(n+2)=x*x_(n+1)+n*x_n for n>=3 Let P_n(x)=x_(n-1)*x_(n+1)-(x_n)^2 for n>=2 Prove or disprove that the coefficients of P_n(x) are all non-negative, except for the constant term when n is odd. IP Logged Sarchasm: The gulf between the author of sarcastic wit and the person who doesn't get it.. 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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