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A162946 Numbers n whose cubes are concatenations n^3 = x//y such that x is an anagram of y. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 19 00:55 EDT 2019. Contains 324217 sequences. (Running on oeis4.)