A110726 -id:A110726

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A110727

Absolute({n concatenate R(n)}-{R(n) concatenate n})/11, where R(n) = digit reversal of n.

+10
2

81, 0, 81, 162, 243, 324, 405, 486, 567, 648, 162, 81, 0, 81, 162, 243, 324, 405, 486, 567, 243, 162, 81, 0, 81, 162, 243, 324, 405, 486, 324, 243, 162, 81, 0, 81, 162, 243, 324, 405, 405, 324, 243, 162, 81, 0, 81, 162, 243, 324, 486, 405, 324, 243, 162, 81

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OFFSET

10,1

COMMENTS

a(palindrome) = 0. a(n) = a(R(n)).

LINKS

G. C. Greubel, Table of n, a(n) for n = 10..1000

FORMULA

When n has two digits a(n)= 81*abs(x-y), (Here x,y are the digits of n and abs(n) is the absolute value of n.). - _Keith Schneider_, Jun 16 2007

EXAMPLE

a(12) = abs(1221-2112)/11 = 81.

MATHEMATICA

Abs[Table[(FromDigits[Join[IntegerDigits[n], Reverse[IntegerDigits[n]]]] - FromDigits[Join[Reverse[IntegerDigits[n]], IntegerDigits[n]]])/11, {n, 10, 60}]] (* G. C. Greubel, Sep 06 2017 *)

CROSSREFS

Cf. A110722, A110723, A110724, A110725, A110726.

KEYWORD

base,easy,nonn

AUTHOR

Amarnath Murthy, Aug 09 2005

STATUS

approved

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