A135700 Palindromes formed from the reflected decimal expansion of golden ratio phi.

1, 11, 161, 1661, 16161, 161161, 1618161, 16188161, 161808161, 1618008161, 16180308161, 161803308161, 1618033308161, 16180333308161, 161803393308161, 1618033993308161, 16180339893308161, 161803398893308161

Offset

1,2

Comments

Phi = 1.61803398874989484820458683436... (see A001622).

The number of digits of a(n) is equal to n.

Links

Table of n, a(n) for n=1..18.

Example

n ... Successive digits of a(n)
1 ............ ( 1 )
2 ........... ( 1 1 )
3 .......... ( 1 6 1 )
4 ......... ( 1 6 6 1 )
5 ........ ( 1 6 1 6 1 )
6 ....... ( 1 6 1 1 6 1 )
7 ...... ( 1 6 1 8 1 6 1 )
8 ..... ( 1 6 1 8 8 1 6 1 )
9 .... ( 1 6 1 8 0 8 1 6 1 )
10 .. ( 1 6 1 8 0 0 8 1 6 1 )

Crossrefs

Cf. A001622, A002113.

Cf. A138072, A138073.

Sequence in context: A348151 A324430 A326097 * A205086 A370911 A141876

Adjacent sequences: A135697 A135698 A135699 * A135701 A135702 A135703

Keyword

base,nonn

Author

Omar E. Pol, Mar 01 2008, Mar 28 2008

Status

approved