A029735 Numbers k such that k^3 is palindromic in base 16.

0, 1, 2, 17, 257, 273, 4097, 4369, 65537, 65793, 69649, 1048577, 1052929, 1114129, 16777217, 16781313, 16843009, 16847105, 17825809, 17829905, 268435457, 268505089, 269484289, 285212689, 4294967297, 4295032833, 4296019969, 4296085505, 4311744769, 4563402769

Offset

1,3

Links

Giovanni Resta, Table of n, a(n) for n = 1..49

Patrick De Geest, World!Of Numbers, Palindromic cubes in bases 2 to 17.

Prog

(Python)
A029735_list, j = [], 0
for i in range(10**9):
    s = format(j, 'x')
    if s == s[::-1]:
        A029735_list.append(i)
    j += 3*i*(i+1)+1 # Chai Wah Wu, Dec 20 2015
(PARI) isok(n) = my(vd = digits(n^3, 16)); Vecrev(vd) == vd; \\ Michel Marcus, Dec 21 2015
(Magma) [n: n in [0..2*10^7] | Intseq(n^3, 16) eq Reverse(Intseq(n^3, 16))]; // Vincenzo Librandi, Dec 22 2015

Crossrefs

Cf. A029736.

Sequence in context: A099702 A253549 A002590 * A291206 A037896 A099714

Adjacent sequences: A029732 A029733 A029734 * A029736 A029737 A029738

Keyword

nonn,base

Author

Patrick De Geest, May 15 1998

Extensions

a(25)-a(30) from Giovanni Resta, Aug 06 2019

Status

approved