A330722 - OEIS

%I #17 Apr 27 2020 08:14:05

%S 0,1,2,3,4,7,8,10,11,14,18,19,21,22,25,26,28,29,36,38,47,48,50,51,54,

%T 55,57,58,65,66,68,69,72,73,75,76,94,96,123,124,126,127,130,131,133,

%U 134,141,142,144,145,148,149,151,152,170,171,173,174,177,178,180

%N Numbers whose base phi representation is symmetrical, ignoring the radix point and leading and trailing zeros.

%C These are the numbers n such that A130600(n) is palindromic.

%H Rémy Sigrist, <a href="/A330722/b330722.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A330722/a330722.gp.txt">PARI program for A330722</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Golden_ratio_base">Golden ratio base</a>

%e The first terms, alongside their base phi representation, are:

%e   n   a(n)  phi(a(n))

%e   --  ----  -------------

%e    1     0              0

%e    2     1              1

%e    3     2          10.01

%e    4     3         100.01

%e    5     4         101.01

%e    6     7     10000.0001

%e    7     8     10001.0001

%e    8    10     10100.0101

%e    9    11     10101.0101

%e   10    14  100100.001001

%o (PARI) See Links section.

%Y See A330672 for a stronger variant.

%Y Cf. A130600, A178482.

%K nonn,base

%O 1,3

%A _Rémy Sigrist_, Apr 23 2020