%I #24 Aug 11 2024 14:41:30

%S 0,1,2,17,257,273,4097,4369,65537,65793,69649,1048577,1052929,1114129,

%T 16777217,16781313,16843009,16847105,17825809,17829905,268435457,

%U 268505089,269484289,285212689,4294967297,4295032833,4296019969,4296085505,4311744769,4563402769

%N Numbers k such that k^3 is palindromic in base 16.

%H Giovanni Resta, <a href="/A029735/b029735.txt">Table of n, a(n) for n = 1..49</a>

%H P. De Geest, <a href="https://www.worldofnumbers.com/nobase10.htm">Palindromic numbers beyond base 10</a>

%H P. De Geest, <a href="https://www.worldofnumbers.com/index.html">World!Of Numbers</a>

%o (Python)

%o A029735_list, j = [], 0

%o for i in range(10**9):

%o s = format(j,'x')

%o if s == s[::-1]:

%o A029735_list.append(i)

%o j += 3*i*(i+1)+1 # _Chai Wah Wu_, Dec 20 2015

%o (PARI) isok(n) = my(vd = digits(n^3, 16)); Vecrev(vd) == vd; \\ _Michel Marcus_, Dec 21 2015

%o (Magma) [n: n in [0..2*10^7] | Intseq(n^3, 16) eq Reverse(Intseq(n^3, 16))]; // _Vincenzo Librandi_, Dec 22 2015

%Y Cf. A029736.

%K nonn,base

%O 1,3

%A _Patrick De Geest_, May 15 1998

%E a(25)-a(30) from _Giovanni Resta_, Aug 06 2019