The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A119509 Positive numbers whose square contains no digit more than once. 6
 1, 2, 3, 4, 5, 6, 7, 8, 9, 13, 14, 16, 17, 18, 19, 23, 24, 25, 27, 28, 29, 31, 32, 33, 36, 37, 42, 43, 44, 48, 49, 51, 52, 53, 54, 55, 57, 59, 61, 64, 66, 69, 71, 72, 73, 74, 78, 79, 82, 84, 86, 87, 89, 93, 95, 96, 98, 99, 113, 116, 117, 118, 124, 126, 128, 133 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS There are exactly 610 terms. a(610) = 99066 and 99066^2 = 9814072356. - Rick L. Shepherd, Jul 27 2006 If we count 0, there is one more term, for a total of 611. - T. D. Noe, Jun 21 2013 LINKS Rick L. Shepherd, Table of n, a(n) for n = 1..610 (full sequence) MAPLE lim:=floor(sqrt(9876543210)): A119509:={}: for n from 1 to lim do pandig:=true: d:=convert(n^2, base, 10): for k from 0 to 9 do if(numboccur(k, d)>1)then pandig:=false: break: fi: od: if(pandig)then A119509 := A119509 union {n}: fi: od: op(sort(convert(A119509, list))); # Nathaniel Johnston, Jun 23 2011 MATHEMATICA Select[Range, Length[IntegerDigits[ # ^2]] == Length[Union[IntegerDigits[ # ^2]]] &] (* Tanya Khovanova, May 29 2007 *) Select[Range[10^5], Max[DigitCount[#^2]] <= 1 &] (* T. D. Noe, Aug 02 2011 *) PROG (MAGMA) [n: n in [1..10^5] | #Set(d) eq #d where d is Intseq(n^2)];  // Bruno Berselli, Aug 02 2011 (PARI) is_A119509(n)=#(n=digits(n^2))==#Set(n) \\ M. F. Hasler, Sep 08 2017 CROSSREFS Subsequence of A045540 = numbers whose squares contain an equal number of each digit that they contain. The first number that belongs to A045540 and doesn't belong to this sequence is number 88. Cf. A078255, A036745, A075309, A162950. Sequence in context: A135140 A052061 A045540 * A219248 A055568 A283161 Adjacent sequences:  A119506 A119507 A119508 * A119510 A119511 A119512 KEYWORD base,fini,full,nonn AUTHOR Tanya Khovanova, Jul 26 2006 EXTENSIONS More terms from Rick L. Shepherd, Jul 27 2006 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 8 20:50 EDT 2020. Contains 335535 sequences. (Running on oeis4.)