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A029983
Squares which are palindromes in base 2.
16
0, 1, 9, 20457529, 143784081, 331130809, 20074072489, 1193532215121, 10036851273801, 41413201925481, 155991531977649, 320642706437001, 4665141483989281, 87463589042698969, 152191954834044129
OFFSET
1,3
LINKS
Patrick De Geest, Palindromic Squares
G. J. Simmons, On palindromic squares of non-palindromic numbers, J. Rec. Math., 5 (No. 1, 1972), 11-19. [Annotated scanned copy]
PROG
(Python)
from itertools import count, islice
def A029983_gen(): # generator of terms
return filter(lambda k: (s:=bin(k)[2:])[:(t:=(len(s)+1)//2)]==s[:-t-1:-1], (k**2 for k in count(0)))
A029983_list = list(islice(A029983_gen(), 10)) # Chai Wah Wu, Jun 23 2022
CROSSREFS
Cf. A003166.
Sequence in context: A340181 A131678 A229687 * A358814 A225775 A154110
KEYWORD
nonn,base
STATUS
approved