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

1,1

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