A104348 - OEIS

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A104348

a(n) is the number of integers m such that m -(digit reversal of m) = 9*n.

9, 8, 7, 6, 5, 4, 3, 2, 1, 81, 90, 0, 0, 0, 0, 0, 0, 0, 0, 72, 9, 80, 0, 0, 0, 0, 0, 0, 0, 63, 18, 0, 70, 0, 0, 0, 0, 0, 0, 54, 27, 0, 0, 60, 0, 0, 0, 0, 0, 45, 36, 0, 0, 0, 50, 0, 0, 0, 0, 36, 45, 0, 0, 0, 0, 40, 0, 0, 0, 27, 54, 0, 0, 0, 0, 0, 30, 0, 0, 18, 63, 0, 0, 0, 0, 0, 0, 20, 0, 9, 72, 0, 0, 0

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OFFSET

1,1

COMMENTS

For any n>0, a(n) is finite (or zero) and a(0) is infinite (because there are an infinite number of palindromes).

LINKS

Table of n, a(n) for n=1..94.

EXAMPLE

a(8)=2 because there are only two integers m such that m - (digit reversal of m) = 9*8=72, namely 80 and 91: 80-(08)=80-8=72 and 91-19=72.

MATHEMATICA

A104348=Table[Select[Range[0, 40000], (FromDigits[Reverse[IntegerDigits[ # ]]]-#)/9==-k&]//Length, {k, 100}]

CROSSREFS