A262079 - OEIS

%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