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

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A006716 Squares with digits 1, 4, 9.
(Formerly M3369)
6
1, 4, 9, 49, 144, 441, 1444, 11449, 44944, 991494144, 4914991449, 149991994944, 9141411499911441, 199499144494999441, 9914419419914449449, 444411911999914911441, 419994999149149944149149944191494441 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This is probably a finite sequence, but that is only a conjecture.

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

I. Vardi, Computational Recreations in Mathematica. Addison-Wesley, Redwood City, CA, 1991, p. 234.

LINKS

Table of n, a(n) for n=1..17.

P. De Geest, Squares containing at most three distinct digits, Index entries for related sequences

A. Ottens, The arithmetic-digits-squares-three.digits problem

Eric Weisstein's World of Mathematics, Square Number

FORMULA

a(n) = A027675(n)^2. - M. F. Hasler, Nov 15 2017

CROSSREFS

Subsequence of A019544.

Cf. A027675 (square roots), A061269.

For other digit groups {0,1,2} through {7,8,9}, see also: A058411, ..., A058472, A058473, A058474.

Sequence in context: A061867 A019544 A053059 * A068809 A231177 A110481

Adjacent sequences:  A006713 A006714 A006715 * A006717 A006718 A006719

KEYWORD

nonn,base,changed

AUTHOR

N. J. A. Sloane. Revised Jul 10 2015.

EXTENSIONS

a(13) corrected by Neven Juric (neven.juric(AT)apis-it.hr), May 14, 2003

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 November 17 19:40 EST 2017. Contains 294834 sequences.