

A006716


Squares with digits 1, 4, 9.
(Formerly M3369)


8



1, 4, 9, 49, 144, 441, 1444, 11449, 44944, 991494144, 4914991449, 149991994944, 9141411499911441, 199499144494999441, 9914419419914449449, 444411911999914911441, 419994999149149944149149944191494441
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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. AddisonWesley, 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 arithmeticdigitssquaresthree.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


AUTHOR

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


EXTENSIONS

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


STATUS

approved



