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A046827 Numbers n such that n^2 contains all the digits of n with the same or higher multiplicity. 5
0, 1, 5, 6, 10, 11, 25, 27, 50, 60, 63, 64, 74, 76, 95, 96, 100, 101, 105, 110, 125, 139, 142, 205, 250, 255, 261, 270, 275, 277, 278, 285, 305, 364, 371, 376, 405, 421, 441, 463, 472, 493, 497, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 523, 524, 525 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

10^n is a term for all n. - Amarnath Murthy, Aug 03 2005

LINKS

Table of n, a(n) for n=1..56.

EXAMPLE

27 is a term as 27^2 = 729 contains 2 and 7.

255 is a term as 255^2 = 65025 which contains the digits 2,5,5. 502 is a term as 502^2 = 252004 which contains 5, 0, 2.

MAPLE

isA046827 := proc(n) local dgsn, dgsnsq, multsn, multsn2, o, i ;

dgsn := sort(convert(n, base, 10)) ;

dgsnsq := sort(convert(n^2, base, 10)) ;

multsn := [seq(0, i=0..9) ] ;

multsn2 := [seq(0, i=0..9) ] ; for i from 1 to nops(dgsn) do o := op(1+op(i, dgsn), multsn) ; multsn := subsop( 1+op(i, dgsn)=o+1, multsn ) ; od: for i from 1 to nops(dgsnsq) do o := op(1+op(i, dgsnsq), multsn2) ; multsn2 := subsop( 1+op(i, dgsnsq)=o+1, multsn2 ) ; od: for i from 1 to 10 do if op(i, multsn2) < op(i, multsn) then RETURN(false) ; fi ; od: RETURN(true) ; end: for n from 1 to 700 do if isA046827(n) then printf("%d, ", n) ; fi ; od; # R. J. Mathar, Feb 11 2008

MATHEMATICA

Join[{0}, Select[Range[525], Count[Table[DigitCount[#^2, 10, k] - DigitCount[#, 10, k], {k, Union[IntegerDigits[#]]}], _?Negative] == 0 &]] (* Jayanta Basu, Jun 29 2013 *)

CROSSREFS

Cf. A046829, A029772.

Sequence in context: A079259 A275018 A029772 * A064827 A308262 A029780

Adjacent sequences:  A046824 A046825 A046826 * A046828 A046829 A046830

KEYWORD

nonn,base

AUTHOR

David W. Wilson

EXTENSIONS

Edited by N. J. A. Sloane, Aug 23 2008 at the suggestion of R. J. Mathar

STATUS

approved

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Last modified August 9 12:39 EDT 2020. Contains 336323 sequences. (Running on oeis4.)