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A017270
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a(n) = (10*n)^2.
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4
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0, 100, 400, 900, 1600, 2500, 3600, 4900, 6400, 8100, 10000, 12100, 14400, 16900, 19600, 22500, 25600, 28900, 32400, 36100, 40000, 44100, 48400, 52900, 57600, 62500, 67600, 72900, 78400, 84100
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = a(n-1)+200n-100, n>0 ; a(0)=0. - Miquel Cerda, Oct 30 2016
Sum_{n>=1} 1/a(n) = Pi^2/600.
Sum_{n>=1} (-1)^(n+1)/a(n) = Pi^2/1200.
Product_{n>=1} (1 + 1/a(n)) = sinh(Pi/10)/(Pi/10).
Product_{n>=1} (1 - 1/a(n)) = sin(Pi/10)/(Pi/10) = 5*(sqrt(5)-1)/(2*Pi). (End)
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MATHEMATICA
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LinearRecurrence[{3, -3, 1}, {0, 100, 400}, 40] (* Harvey P. Dale, Oct 02 2017 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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