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.
%I A344470 #20 May 20 2021 22:49:58 %S A344470 1,2,3,4,6,8,9,12,16,18,20,24,32,36,40,48,64,72,80,96,128,144,160,192, %T A344470 216,256,288,320,384,432,512,576,640,768,864,960,1024,1152,1280,1536, %U A344470 1728,1920,2048,2304,2560,2880,3072,3456,3840,4096,4608,5120,5760,6144 %N A344470 Record values in A002654. %C A344470 Also numbers k such that A018782(m) > A018782(k) for all m > k. %H A344470 Jianing Song, <a href="/A344470/b344470.txt">Table of n, a(n) for n = 1..424</a> %F A344470 a(n) = A071385(n+1)/4. %F A344470 a(n) = A000005(A071383(n+1)) = A002654(A071383(n+1)). %e A344470 9 is a term because the circle with radius sqrt(4225) centered at the origin hits exactly 4*9 = 36 integer points, and any circle with radius < sqrt(4225) centered at the origin hits fewer than 36 points. %o A344470 (PARI) my(v=list(10^15), rec=0); for(n=1, #v, if(numdiv(v[n])>rec, rec=numdiv(v[n]); print1(rec, ", "))) \\ see program for A054994 %Y A344470 Cf. A071383, A071385, A002654, A018782, A000005, A054994. %Y A344470 Records of Sum_{d|n} kronecker(m, d): A344472 (m=-3), this sequence (m=-4), A279542 (m=-6). %K A344470 nonn %O A344470 1,2 %A A344470 _Jianing Song_, May 20 2021