A029736 Palindromic cubes in base 16.

0, 1, 8, 4913, 16974593, 20346417, 68769820673, 83396175409, 281487861809153, 284799399232257, 337866128966449, 1152924803144876033, 1167339716607161089, 1382949865068368689, 4722367327294625677313, 4725826936714463031297, 4778141888650615849729

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.

Formula

a(n) = A029735(n)^3. - Michel Marcus, Dec 21 2015

Prog

(Python)
A029736_list, j = [], 0
for i in range(10**9):
    s = format(j, 'x')
    if s == s[::-1]:
        A029736_list.append(j)
    j += 3*i*(i+1)+1 # Chai Wah Wu, Dec 20 2015
(PARI) lista(nn) = {for (n=0, nn, my(vd = digits(n^3, 16)); if (Vecrev(vd) == vd, print1(n^3, ", ")); ); } \\ Michel Marcus, Dec 21 2015

Crossrefs

Cf. A029735.

Sequence in context: A100351 A045478 A055319 * A206460 A340890 A093937

Adjacent sequences: A029733 A029734 A029735 * A029737 A029738 A029739

Keyword

nonn,base,changed

Author

Patrick De Geest

Extensions

More terms from Giovanni Resta, Aug 06 2019

Status

approved