A330722 Numbers whose base phi representation is symmetrical, ignoring the radix point and leading and trailing zeros.

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, 55, 57, 58, 65, 66, 68, 69, 72, 73, 75, 76, 94, 96, 123, 124, 126, 127, 130, 131, 133, 134, 141, 142, 144, 145, 148, 149, 151, 152, 170, 171, 173, 174, 177, 178, 180

Offset: 1

Author

Rémy Sigrist, Apr 23 2020

Keywords

• nonn
• base

Comments

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

Examples

			The first terms, alongside their base phi representation, are:
  n   a(n)  phi(a(n))
  --  ----  -------------
   1     0              0
   2     1              1
   3     2          10.01
   4     3         100.01
   5     4         101.01
   6     7     10000.0001
   7     8     10001.0001
   8    10     10100.0101
   9    11     10101.0101
  10    14  100100.001001
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program for A330722
• Wikipedia, Golden ratio base

Crossrefs

See A330672 for a stronger variant.

Cf. A130600, A178482.

Programs

PARI

See Links section.