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Á²²½¼° a_(n+1) = f(n) * a_n ^ g(n) ¤Î°ìÈ̹à

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a_(n+1) = f(n) * a_n ^ g(n)

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a_n = {a_1^Π[i=1,n]g(i) * Π[j=1,n-1]{f(j)^Π[i=j+1,n]g(i)}}^{1/g(n)}

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a_(n+1) = √n / a_n

¤Î°ìÈ̹à¤Ï¡¢¾å¼°¤Î f(n) = √n, g(n) = -1 ¤È¤·¤Æ¡¢

a_n = {a_1^Π[i=1,n](-1) * Π[j=1,n-1]{√n^Π[i=j+1,n](-1)}}^{1/(-1)}

= a_1^(-1)^(n-1) * Π[j=1,n-1]{√n^(-1)^(n-j-1)}

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´ØÏ¢µ­»ö:

Á²²½¼° a_(n+1) = f(n) * a_n + g(n) ¤Î°ìÈ̹à

 

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http://blog.graviness.com/trackback/949265