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%I #14 Oct 10 2019 08:13:22
%S 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
%T 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,61,61,61,61,61,
%U 61,61,61,61,61,61,61,61,61,61,61,61,61,61,61
%N Differences between successive numbers that can be written as palindromes in base 60, cf. A262065.
%C First differences of A262065.
%C From _Georg Fischer_, Feb 15 2019: (Start)
%C Up to n = 10000, only 12 different values occur. The following table shows the counts and those values.
%C 59 -12740399
%C 61 1
%C 45 12747601
%C 1 12956461
%C 2 2
%C 3479 216001
%C 1 3599
%C 2753 3600
%C 1 59
%C 3480 60
%C 117 61
%C 1 7202
%C (End)
%H Reinhard Zumkeller, <a href="/A262079/b262079.txt">Table of n, a(n) for n = 1..10000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PalindromicNumber.html">Palindromic Number</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Sexagesimal.html">Sexagesimal</a>
%H Wikipedia, <a href="http://www.wikipedia.org/wiki/Palindromic_number">Palindromic number</a>
%H Wikipedia, <a href="http://www.wikipedia.org/wiki/Sexagesimal">Sexagesimal</a>
%H <a href="/index/Pac#palindromes">Index entries for sequences related to palindromes</a>
%e a(n) = 1 for n = 1..59, as the first 60 sexagesimal palindromes are 0..59;
%e a(60) = (1*60^1 + 1*60^0) - 59*(60^0) = 61 - 59 = 2;
%e a(61) = (2*60^1 + 2*60^0) - (1*60^1+1*60^0) = 122 - 61 = 61.
%o (Haskell)
%o a262079 n = a262079_list !! (n-1)
%o a262079_list = zipWith (-) (tail a262065_list) a262065_list
%Y Cf. A262065, A086862.
%K sign,base
%O 1,60
%A _Reinhard Zumkeller_, Sep 10 2015
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