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%I #18 Aug 02 2022 15:40:12
%S 0,1,6,26,126,626,3126,15626,78126,390626,1953126,9765626,48828126,
%T 244140626,1220703126,6103515626,30517578126,152587890626,
%U 762939453126,3814697265626,19073486328126,95367431640626,476837158203126
%N Numbers whose cube is palindromic in base 5.
%C Note that '626' is itself palindromic.
%C Contains all A034474(n), n>=1, as a subset because (5^n+1)^3=5^(3n)+3*5^(2n)+3*5^n+1 is a symmetric string 100..00300..00300..001 in base 5. [_R. J. Mathar_, Jul 31 2008]
%H Patrick De Geest, <a href="http://www.worldofnumbers.com/index.html">World!Of Numbers</a>
%o (PARI) isok(k) = my(d=digits(k^3, 5)); Vecrev(d) == d; \\ _Michel Marcus_, Aug 02 2022
%o (Python)
%o from itertools import count, islice
%o from sympy.ntheory import is_palindromic as ispal
%o def agen(start=0): yield from (k for k in count(start) if ispal(k**3, 5))
%o print(list(islice(agen(), 10))) # _Michael S. Branicky_, Aug 02 2022
%Y Cf. A034474, A046234.
%K nonn,base,more
%O 1,3
%A _Patrick De Geest_, May 15 1998
%E More terms from Megan Francis (mkf5011(AT)psu.edu), Nov 15 2005
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