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A104347 a(n) is the number of integers m such that (digit reversal of m) - m = 9*n. 2
8, 7, 6, 5, 4, 3, 2, 1, 0, 81, 80, 0, 0, 0, 0, 0, 0, 0, 0, 72, 8, 70, 0, 0, 0, 0, 0, 0, 0, 63, 16, 0, 60, 0, 0, 0, 0, 0, 0, 54, 24, 0, 0, 50, 0, 0, 0, 0, 0, 45, 32, 0, 0, 0, 40, 0, 0, 0, 0, 36, 40, 0, 0, 0, 0, 30, 0, 0, 0, 27, 48, 0, 0, 0, 0, 0, 20, 0, 0, 18, 56, 0, 0, 0, 0, 0, 0, 10, 0, 9, 64, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
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(7)=2 because there are only two integers m such that (digit reversal of m) - m = 9*7=63, namely 18 and 29: 81-18=63 and 92-29=63.

MATHEMATICA

A104347=Table[Select[Range[0, 40000], (FromDigits[Reverse[IntegerDigits[ # ]]]-#)/9==k&]//Length, {k, 100}]

CROSSREFS

Cf. A104348.

Sequence in context: A031310 A161813 A284809 * A180598 A262703 A031311

Adjacent sequences:  A104344 A104345 A104346 * A104348 A104349 A104350

KEYWORD

nonn,base

AUTHOR

Zak Seidov, Mar 02 2005

STATUS

approved

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Last modified February 18 03:43 EST 2018. Contains 299298 sequences. (Running on oeis4.)