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

1,1

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.

Sequence in context: A362404 A316725 A164778 * A030500 A107406 A206261

Adjacent sequences: A268537 A268538 A268539 * A268541 A268542 A268543

Keyword

nonn,base

Author

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

Status

approved