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A225218 Square numbers containing all the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. 9
1026753849, 1042385796, 1098524736, 1237069584, 1248703569, 1278563049, 1285437609, 1382054976, 1436789025, 1503267984, 1532487609, 1547320896, 1643897025, 1827049536, 1927385604, 1937408256, 2076351489, 2081549376, 2170348569, 2386517904, 2431870596 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The first term having a repeated digit is 10057482369. - Colin Barker, Jan 15 2014

LINKS

Reiner Moewald, Table of n, a(n) for n = 1..4865

FORMULA

a(n) = A054038(n)^2. - Colin Barker, Jan 15 2014

EXAMPLE

1026753849 is in the sequence because 1026753849 = 32043^2 and 1026753849 contains all ten digits 0, ..., 9.

MATHEMATICA

Select[#^2 &[Range[1000000]], Length[Union[IntegerDigits[#]]] == 10 &] (* Geoffrey Critzer, Jan 04 2015 *)

PROG

(PARI) s=[]; for(n=1, 100000, if(#vecsort(eval(Vec(Str(n^2))), , 8)==10, s=concat(s, n^2))); s \\ Colin Barker, Jan 15 2014

CROSSREFS

Supersequence of A036745.

Cf. A235717-A235724.

Sequence in context: A175845 A225295 A036745 * A268312 A035124 A197952

Adjacent sequences:  A225215 A225216 A225217 * A225219 A225220 A225221

KEYWORD

nonn,base

AUTHOR

Reiner Moewald, May 02 2013

STATUS

approved

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Last modified October 13 20:38 EDT 2019. Contains 327981 sequences. (Running on oeis4.)