A006716 - OEIS

A006716

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

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

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