

A264604


a(n) = smallest square which is a concatenation of n and m, where m is a decimal number.


2



16, 25, 36, 49, 529, 64, 729, 81, 961, 100, 1156, 121, 1369, 144, 1521, 169, 1764, 1849, 196, 2025, 2116, 225, 23104, 24336, 256, 26244, 27225, 289, 2916, 3025, 3136, 324, 3364, 3481, 35344, 361, 3721, 3844, 3969, 400, 41209, 4225, 4356, 441, 45369, 4624, 4761, 484, 49284, 5041, 5184, 529, 5329, 5476
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OFFSET

1,1


COMMENTS

m can be 0 but not 00, so a(9) = 961, in contrast to A030666(9) = 900.


LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..10000


MAPLE

# Computes 10000 terms
for b from 1 to 10000 do
sw1:=1;
for n from 0 to 1000000 do
len:=length(n);
if len=0 then len:=1; fi;
t2:=10^len*b+n;
if issqr(t2) then sw1:=1; lprint(b, t2); break; fi; od:
if sw1 < 0 then lprint("failed at", b); lprint(b, 1); fi;
od:


CROSSREFS

Similar to A030666 but with a more stringent rule.
Sequence in context: A175689 A030666 A030676 * A348235 A218439 A192689
Adjacent sequences: A264601 A264602 A264603 * A264605 A264606 A264607


KEYWORD

nonn,base


AUTHOR

N. J. A. Sloane, Nov 24 2015


STATUS

approved



