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

Author

Claudio Meller, Jul 18 2009

Keywords

• nonn
• base

Comments

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

Examples

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

Crossrefs

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

Programs

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

Extensions

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