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

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, 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, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61, 61

Offset

1,60

Comments

First differences of A262065.

From Georg Fischer, Feb 15 2019: (Start)

Up to n = 10000, only 12 different values occur. The following table shows the counts and those values.

59 -12740399

61 1

45 12747601

1 12956461

2 2

3479 216001

1 3599

2753 3600

1 59

3480 60

117 61

1 7202

(End)

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Palindromic Number

Eric Weisstein's World of Mathematics, Sexagesimal

Wikipedia, Palindromic number

Wikipedia, Sexagesimal

Index entries for sequences related to palindromes

Example

a(n) = 1 for n = 1..59, as the first 60 sexagesimal palindromes are 0..59;
a(60) = (1*60^1 + 1*60^0) - 59*(60^0) = 61 - 59 = 2;
a(61) = (2*60^1 + 2*60^0) - (1*60^1+1*60^0) = 122 - 61 = 61.

Prog

(Haskell)
a262079 n = a262079_list !! (n-1)
a262079_list = zipWith (-) (tail a262065_list) a262065_list

Crossrefs

Cf. A262065, A086862.

Sequence in context: A182856 A101896 A130411 * A364659 A222009 A351728

Adjacent sequences: A262076 A262077 A262078 * A262080 A262081 A262082

Keyword

sign,base

Author

Reinhard Zumkeller, Sep 10 2015

Status

approved