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Record values in A002324.
4

%I #18 May 20 2021 22:50:25

%S 1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,108,128,144,160,192,216,

%T 256,288,320,384,432,512,576,640,768,864,1024,1152,1280,1536,1728,

%U 2048,2304,2560,3072,3456,3840,4096,4608,5120,5184,6144,6912,7680,8192,9216

%N Record values in A002324.

%C Also numbers k such that A343771(m) > A343771(k) for all m > k.

%H Jianing Song, <a href="/A344472/b344472.txt">Table of n, a(n) for n = 1..246</a>

%F a(n) = A344471(n+1)/6.

%F a(n) = A000005(A230655(n+1)) = A002324(A230655(n+1)).

%e 8 is a term because the circle with radius sqrt(1729) centered at the origin hits exactly 6*8 = 48 points in the A_2 lattice, and any circle with radius < sqrt(1729) centered at the origin hits fewer than 48 points.

%o (PARI) my(v=list_A344473(10^15), rec=0); for(n=1, #v, if(numdiv(v[n])>rec, rec=numdiv(v[n]); print1(rec, ", "))) \\ see program for A344473

%Y Cf. A230655, A344471, A002324, A343771, A000005, A344473.

%Y Records of Sum_{d|n} kronecker(m, d): this sequence (m=-3), A344470 (m=-4), A279542 (m=-6).

%K nonn

%O 1,2

%A _Jianing Song_, May 20 2021