A264604 a(n) = smallest square which is a concatenation of n and m, where m is a decimal number.

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

Offset: 1

Author

N. J. A. Sloane, Nov 24 2015

Keywords

• nonn
• base

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

Crossrefs

Similar to A030666 but with a more stringent rule.

Programs

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: