login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A036745 Squares including each digit exactly once. 8
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 last term of this sequence is a(87) = 9814072356.

LINKS

Nathaniel Johnston, Table of n, a(n) for n = 1..87 (full sequence)

MAPLE

lim:=floor(sqrt(9876543210)): for n from floor(sqrt(1023456789)) to lim do d:=[op(convert(n^2, base, 10))]: pandig:=true: for k from 0 to 9 do if(numboccur(k, d)<>1)then pandig:=false: break: fi: od: if(pandig)then printf("%d, ", n^2): fi: od: # Nathaniel Johnston, Jun 22 2011

MATHEMATICA

Select[ Range[ Floor[ Sqrt[ 1023456789 ] ], Floor[ Sqrt[ 9876543210 ] ] ]^2, Union[ DigitCount[ # ] ]== {1} & ]

Select[FromDigits/@Permutations[Range[0, 9]], IntegerLength[#]==10&&IntegerQ[ Sqrt[#]]&] (* Harvey P. Dale, Apr 09 2012 *)

CROSSREFS

Cf. A156977 (square roots).

Sequence in context: A225295 * A225218 A235726 A268312 A035124 A197952

Adjacent sequences:  A036742 A036743 A036744 * A036746 A036747 A036748

KEYWORD

fini,full,nonn,base

AUTHOR

David W. Wilson

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 7 03:42 EST 2016. Contains 278840 sequences.