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

1,3

Comments

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

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A330722

Wikipedia, Golden ratio base

Example

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

Prog

(PARI) See Links section.

Crossrefs

See A330672 for a stronger variant.

Cf. A130600, A178482.

Sequence in context: A354908 A353857 A353848 * A220969 A207006 A171781

Adjacent sequences: A330719 A330720 A330721 * A330723 A330724 A330725

Keyword

nonn,base

Author

Rémy Sigrist, Apr 23 2020

Status

approved