A268540 Numbers whose Fouriest transform (see A268236) is 44.

24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 68, 72, 76, 80, 84, 88, 92, 96, 108, 112, 116, 128, 132, 140, 152, 156, 176, 180, 184, 188, 192, 204, 212, 216, 220, 232, 236, 240, 252, 264, 272, 296, 304, 312, 320, 332, 336, 348, 380, 392, 396, 408, 412, 416, 428, 432, 436, 456, 468, 472, 476, 480, 492, 500, 508, 512, 516

Offset: 1

Author

Jake Baron, Patrick Devlin, Nathan Fox, and N. J. A. Sloane, Feb 27 2016

Keywords

• nonn
• base

Comments

If we are ever going to understand A268236 then we need to understand this sequence first.

Based on Nathan Fox's extended table in A268236.

Equivalently, numbers 4k (k>5) whose representations in bases 5 through k-2 each contain at most one 4.

Equivalently, numbers 4k (k>5) whose representations in integer bases less than sqrt(4k) each contain at most one 4.

Is this sequence infinite?

Links

• Nathan Fox, Table of n, a(n) for n = 1..507

Crossrefs

Cf. A268236, A268237, A268238, A268541.