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A074798 Floor of S*n^2, where S equals sum of reciprocal terms of this same sequence. 0

%I #8 Mar 21 2023 13:24:57

%S 1,5,13,23,36,52,72,94,119,147,178,211,248,288,331,376,425,476,531,

%T 588,649,712,778,847,919,994,1072,1153,1237,1324,1414,1507,1602,1701,

%U 1803,1907,2014,2125,2238,2354,2474,2596,2721,2849,2980,3114,3251,3391,3533

%N Floor of S*n^2, where S equals sum of reciprocal terms of this same sequence.

%F a(n) = floor(S*n^2), where S = Sum_{k>=1} 1/a(k).

%e a(10) = 147 because a(10) = floor(S*10^2), where S = 1/1 + 1/5 + 1/13 + 1/23 + 1/36 + 1/52 + 1/72 +... + 1/a(k) +... {k=1..inf}.

%e S = 1.471869231468455847281... This should be good to about 20 digits. - _David Einstein_

%K nonn,easy

%O 1,2

%A _Paul D. Hanna_, Sep 08 2002

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