A344472 Record values in A002324.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 108, 128, 144, 160, 192, 216, 256, 288, 320, 384, 432, 512, 576, 640, 768, 864, 1024, 1152, 1280, 1536, 1728, 2048, 2304, 2560, 3072, 3456, 3840, 4096, 4608, 5120, 5184, 6144, 6912, 7680, 8192, 9216

Offset: 1

Author

Jianing Song, May 20 2021

Keywords

• nonn

Comments

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

Examples

			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.
		

Links

• Jianing Song, Table of n, a(n) for n = 1..246

Crossrefs

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

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

Programs

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

Formula

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

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