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%I #15 Jun 23 2022 15:42:50
%S 0,1,9,20457529,143784081,331130809,20074072489,1193532215121,
%T 10036851273801,41413201925481,155991531977649,320642706437001,
%U 4665141483989281,87463589042698969,152191954834044129
%N Squares which are palindromes in base 2.
%H Chai Wah Wu, <a href="/A029983/b029983.txt">Table of n, a(n) for n = 1..22</a>
%H Patrick De Geest, <a href="http://www.worldofnumbers.com/square.htm">Palindromic Squares</a>
%H G. J. Simmons, <a href="/A002778/a002778.pdf">On palindromic squares of non-palindromic numbers</a>, J. Rec. Math., 5 (No. 1, 1972), 11-19. [Annotated scanned copy]
%o (Python)
%o from itertools import count, islice
%o def A029983_gen(): # generator of terms
%o return filter(lambda k: (s:=bin(k)[2:])[:(t:=(len(s)+1)//2)]==s[:-t-1:-1],(k**2 for k in count(0)))
%o A029983_list = list(islice(A029983_gen(),10)) # _Chai Wah Wu_, Jun 23 2022
%Y Cf. A003166.
%K nonn,base
%O 1,3
%A _Patrick De Geest_
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