A162333 Numbers k such that k^3 (A000578) is an anagram of a pronic number (A002378).

0, 3, 48, 69, 99, 102, 105, 117, 123, 126, 129, 135, 138, 144, 159, 162, 171, 174, 183, 198, 201, 216, 219, 222, 225, 228, 234, 237, 240, 243, 252, 255, 267, 273, 276, 279, 282, 285, 288, 291, 297, 309, 312, 315, 318, 321, 324, 333, 336, 339, 345, 351, 369

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

48 is in the sequence because A000578(48) = 48^3 = 110592 is an anagram of 519120 = 720 * 721 = A002378(720).

Maple

M:= 10: # for terms k where k^3 has up to M digits
R:= 0:
for d from 1 to M do
  x0:= ceil((sqrt(1+4*10^(d-1))-1)/2);
  x1:= floor((sqrt(1+4*(10^d-1))-1)/2);
  L:= {seq(sort(convert(n*(n+1), base, 10)), n=x0..x1)};
  R:= R, op(select(t -> member(sort(convert(t^3, base, 10)), L), [$ ceil(10^((d-1)/3)) .. floor((10^d-1)^(1/3))]))
od:
R; # Robert Israel, May 21 2026

Crossrefs

Cf. A000578, A002378.

Sequence in context: A219162 A016548 A208059 * A003878 A219056 A230962

Adjacent sequences: A162330 A162331 A162332 * A162334 A162335 A162336

Keyword

nonn,base

Author

Claudio Meller, Jul 01 2009

Extensions

Edited and extended by Ray Chandler, Jul 09 2009

Status

approved