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A135699 Palindromes with odd number of digits formed from the reflected decimal expansion of golden ratio phi. 4

%I #6 Oct 27 2016 03:17:35

%S 1,161,16161,1618161,161808161,16180308161,1618033308161,

%T 161803393308161,16180339893308161,1618033988893308161,

%U 161803398878893308161,16180339887478893308161

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

%C Phi = 1.61803398874989484820458683436... (see A001622).

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

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

%e n ............ a(n)

%e 1 ............. 1

%e 2 ............ 161

%e 3 ........... 16161

%e 4 .......... 1618161

%e 5 ......... 161808161

%e 6 ........ 16180308161

%e 7 ....... 1618033308161

%e 8 ...... 161803393308161

%e 9 ..... 16180339893308161

%e 10 ... 1618033988893308161

%t 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 *)

%Y Cf. A001622, A002113.

%K base,nonn

%O 1,2

%A _Omar E. Pol_, Mar 01 2008

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Last modified September 16 06:47 EDT 2024. Contains 375959 sequences. (Running on oeis4.)