A162946 Numbers n whose cubes are concatenations n^3 = x//y such that x is an anagram of y.

11, 62, 303, 1461, 2002, 5005, 6006, 23784, 25978, 30103, 37755, 40004, 100010, 101101, 107256, 109909, 110011, 112363, 120012, 120741, 126389, 129785, 130013, 140014, 166145, 171265, 184332, 211989, 468388, 501833, 525541, 557815, 578089, 610138, 616912, 617591

Offset

1,1

Comments

Cases with leading zeros in y, for example 1001^3 = 1003003001, are not admitted.

Links

Table of n, a(n) for n=1..36.

Example

62^3 = 238328 and 238 is an anagram of 328, which contributes a(2)=62.

Maple

isA162946 := proc(n) local n3, x, y ; n3 := convert(n^3, base, 10) ; if nops(n3) mod 2 = 0 then if op(nops(n3)/2, n3) <> 0 then y := sort( [op(1..nops(n3)/2, n3)] ); x := sort( [op(nops(n3)/2+1..nops(n3), n3)] ); RETURN( x = y) ; else false; fi; else false; fi; end:
for n from 1 to 2000000 do if isA162946(n) then printf("%d, \n", n) ; fi; od: # R. J. Mathar, Jul 21 2009

Crossrefs

Cf. A052052. - R. J. Mathar, Jul 21 2009

Sequence in context: A191596 A227087 A052051 * A301610 A298046 A120723

Adjacent sequences: A162943 A162944 A162945 * A162947 A162948 A162949

Keyword

nonn,base

Author

Claudio Meller, Jul 18 2009

Extensions

Terms beyond 6006 added by R. J. Mathar, Jul 21 2009

Status

approved