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Cubes which are palindromes in base 15.
1

%I #14 Aug 11 2024 14:40:25

%S 0,1,8,64,512,4096,11543176,13997521,738763264,5910106112,38477541376,

%T 47280848896,2462562648064,19700501184512,129754026714376,

%U 131491746445051,157604009476096,8304257709720064,66434061677760512

%N Cubes which are palindromes in base 15.

%H Patrick De Geest, <a href="https://www.worldofnumbers.com/nobase10pg4.htm">World!Of Numbers</a>, Palindromic cubes in bases 2 to 17.

%F a(n) = A046251(n)^3. - _Andrew Howroyd_, Aug 10 2024

%t p15Q[n_]:=Module[{d=IntegerDigits[n,15]},d==Reverse[d]]; Select[Range[ 0,410000]^3,p15Q] (* _Harvey P. Dale_, Mar 28 2020 *)

%Y Intersection of A029960 and A000578.

%Y Cf. A046251.

%K nonn,base

%O 1,3

%A _Patrick De Geest_, May 15 1998

%E Offset corrected by _Andrew Howroyd_, Aug 10 2024