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

1,2

Comments

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

Links

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

Formula

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

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

Example

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.

Prog

(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

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).

Sequence in context: A115422 A364295 A364494 * A018528 A018376 A018302

Adjacent sequences: A344469 A344470 A344471 * A344473 A344474 A344475

Keyword

nonn

Author

Jianing Song, May 20 2021

Status

approved