cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A183199 Least integer k such that Floor(k*f(n+1))>k*f(n), where f(n)=(n^2)/(1+n^2).

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%I A183199 #12 Dec 26 2023 10:16:37
%S A183199 3,6,11,18,27,38,51,66,83,102,123,146,171,198,227,258,291,326,363,402,
%T A183199 443,486,531,578,627,678,731,786,843,902,963,1026,1091,1158,1227,1298,
%U A183199 1371,1446,1523,1602,1683,1766,1851,1938,2027,2118,2211,2306,2403,2502
%N A183199 Least integer k such that Floor(k*f(n+1))>k*f(n), where f(n)=(n^2)/(1+n^2).
%C A183199 Appears to be essentially the same as A102305, A059100 and A010000. - _R. J. Mathar_, Jun 07 2011
%t A183199 Table[k=1; While[Floor[k*((n+1)^2)/(1+(n+1)^2)]<=k*(n^2)/(1+(n^2)), k++]; k, {n,100}]
%Y A183199 Cf. A183162.
%K A183199 nonn
%O A183199 1,1
%A A183199 _Clark Kimberling_, Dec 29 2010