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A085585 Squares with exactly one odd digit. 2

%I #24 Sep 30 2023 09:19:17

%S 1,9,16,25,36,49,81,100,144,225,256,289,324,441,625,676,784,841,900,

%T 1024,1444,1600,2025,2209,2304,2401,2500,2601,2704,2809,3600,3844,

%U 4096,4225,4489,4900,6241,6724,6889,8100,8281,8649,8836,9604,10000,10404

%N Squares with exactly one odd digit.

%C If k is a term, then so is 100*k. - _Robert Israel_, Sep 29 2023

%H Robert Israel, <a href="/A085585/b085585.txt">Table of n, a(n) for n = 1..10000</a>

%e 20164 is a term because 20164 = 142^2 and 20164 has exactly one odd digit.

%p filter:= proc(n) nops(select(type,convert(n,base,10),even))=1 end proc:

%p select(filter, [seq(i^2, i=1..10000)]); # _Robert Israel_, Sep 29 2023

%t bb={}; Do[idp=IntegerDigits[n^2]; len=Length[idp]; If[Sum[Mod[idp[[i]], 2], {i, len}]==1, bb={bb, n}], {n, 200}]; Flatten[bb]^2

%Y Cf. A000290, A068690.

%K nonn,base

%O 1,2

%A _Zak Seidov_, Jul 06 2003

%E Name and example edited by _Jon E. Schoenfield_, Sep 29 2023

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Last modified April 18 11:12 EDT 2024. Contains 371779 sequences. (Running on oeis4.)