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A262079 Differences between successive numbers that can be written as palindromes in base 60, cf. A262065.

%I A262079 #15 Feb 16 2025 08:33:27
%S A262079 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 A262079 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 A262079 61,61,61,61,61,61,61,61,61,61,61,61,61,61,61
%N A262079 Differences between successive numbers that can be written as palindromes in base 60, cf. A262065.
%C A262079 First differences of A262065.
%C A262079 From  _Georg Fischer_, Feb 15 2019: (Start)
%C A262079 Up to n = 10000, only 12 different values occur. The following table shows the counts and those values.
%C A262079      59 -12740399
%C A262079      61 1
%C A262079      45 12747601
%C A262079       1 12956461
%C A262079       2 2
%C A262079    3479 216001
%C A262079       1 3599
%C A262079    2753 3600
%C A262079       1 59
%C A262079    3480 60
%C A262079     117 61
%C A262079       1 7202
%C A262079 (End)
%H A262079 Reinhard Zumkeller, <a href="/A262079/b262079.txt">Table of n, a(n) for n = 1..10000</a>
%H A262079 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PalindromicNumber.html">Palindromic Number</a>
%H A262079 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Sexagesimal.html">Sexagesimal</a>
%H A262079 Wikipedia, <a href="http://www.wikipedia.org/wiki/Palindromic_number">Palindromic number</a>
%H A262079 Wikipedia, <a href="http://www.wikipedia.org/wiki/Sexagesimal">Sexagesimal</a>
%H A262079 <a href="/index/Pac#palindromes">Index entries for sequences related to palindromes</a>
%e A262079 a(n) = 1 for n = 1..59, as the first 60 sexagesimal palindromes are 0..59;
%e A262079 a(60) = (1*60^1 + 1*60^0) - 59*(60^0) = 61 - 59 = 2;
%e A262079 a(61) = (2*60^1 + 2*60^0) - (1*60^1+1*60^0) = 122 - 61 = 61.
%o A262079 (Haskell)
%o A262079 a262079 n = a262079_list !! (n-1)
%o A262079 a262079_list = zipWith (-) (tail a262065_list) a262065_list
%Y A262079 Cf. A262065, A086862.
%K A262079 sign,base
%O A262079 1,60
%A A262079 _Reinhard Zumkeller_, Sep 10 2015