The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A135699

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Palindromes with odd number of digits formed from the reflected decimal expansion of golden ratio phi.
(history; published version)

#6 by Bruno Berselli at Thu Oct 27 03:17:35 EDT 2016

STATUS

proposed

approved

#5 by G. C. Greubel at Thu Oct 27 00:09:13 EDT 2016

STATUS

editing

proposed

#4 by G. C. Greubel at Thu Oct 27 00:09:03 EDT 2016

LINKS

G. C. Greubel, <a href="/A135699/b135699.txt">Table of n, a(n) for n = 1..250</a>

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 *)

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 17:33:53 EDT 2012

AUTHOR

_Omar E. Pol (info(AT)polprimos.com), _, Mar 01 2008

Discussion

Fri Mar 30

17:33

OEIS Server: https://oeis.org/edit/global/157

#2 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

COMMENTS

Phi = 1.61803398874989484820458683436... (See see A001622).

KEYWORD

base,nonn,new

#1 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

NAME

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

DATA

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

OFFSET

1,2

COMMENTS

Phi = 1.61803398874989484820458683436... (See A001622).

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

EXAMPLE

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

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

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

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

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

5 ......... 161808161

6 ........ 16180308161

7 ....... 1618033308161

8 ...... 161803393308161

9 ..... 16180339893308161

10 ... 1618033988893308161

CROSSREFS

Cf. A001622, A002113.

KEYWORD

base,nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Mar 01 2008

STATUS

approved