A135699 - OEIS

A135699

Palindromes with odd number of digits formed from the reflected decimal expansion of golden ratio phi.

1, 161, 16161, 1618161, 161808161, 16180308161, 1618033308161, 161803393308161, 16180339893308161, 1618033988893308161, 161803398878893308161, 16180339887478893308161

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OFFSET

1,2

COMMENTS

Phi = 1.61803398874989484820458683436... (see A001622).

The number of digits of a(n) is equal to 2n - 1.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..250

EXAMPLE

n ............ a(n)

1 ............. 1

2 ............ 161

3 ........... 16161

4 .......... 1618161

5 ......... 161808161

6 ........ 16180308161

7 ....... 1618033308161

8 ...... 161803393308161

9 ..... 16180339893308161

10 ... 1618033988893308161

MATHEMATICA

With[{ed = RealDigits[(1 + Sqrt[5])/2, 10, 25][[1]]}, Table[FromDigits[Join[Take[ed, n], Reverse[Take[ed, n - 1]]]], {n, 25}]] (* G. C. Greubel, Oct 27 2016 *)

CROSSREFS

Cf. A001622, A002113.

Sequence in context: A278205 A197089 A278890 * A092312 A207232 A207225

Adjacent sequences: A135696 A135697 A135698 * A135700 A135701 A135702

KEYWORD

base,nonn

AUTHOR

Omar E. Pol, Mar 01 2008

STATUS

approved