A394558 Numbers k such that k^2 = j^2 + r for some j, where r is an anagram of j^2.

240, 264, 354, 357, 366, 390, 393, 492, 522, 525, 816, 828, 837, 855, 858, 876, 933, 990, 1038, 1053, 1101, 1137, 1170, 1179, 1197, 1386, 1545, 1575, 1761, 1797, 1809, 1815, 1857, 1875, 1878, 1884, 1911, 1938, 1953, 2058, 2073, 2148, 2157, 2169, 2184, 2235, 2256, 2259, 2271, 2292, 2295, 2307

Offset

1,1

Comments

All terms are divisible by 3.

Links

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

Example

a(3) = 354 is a term because 354^2 = 282^2 + 45792 where 45792 is an anagram of 282^2 = 79524.

Maple

g:= proc(n) local L, S, m, k, r;
  L:= sort(convert(n^2, base, 10));
  m:= 10^ilog10(n^2);
  S:= {};
  for k from ceil(sqrt(n^2+m)) to floor(sqrt(n^2+10*m)) by 3 do
    if sort(convert(k^2-n^2, base, 10)) = L then S:= S union {k} fi
  od;
  S
end proc:
S:= `union`(seq(g(k), k=3..9999, 3)):
sort(convert(S, list));

Crossrefs

Cf. A393978, A393998, A394001, A394502, A394527.

Sequence in context: A298453 A121378 A191533 * A299527 A328589 A135194

Adjacent sequences: A394555 A394556 A394557 * A394559 A394560 A394561

Keyword

nonn,base

Author

Robert Israel, Mar 24 2026

Status

approved