

A121970


Numbers n such that if you subtract n from its reversal you get a positive number with the same digits as n.


0



459, 1467, 1692, 3285, 8019, 14967, 16992, 23706, 23769, 24894, 26496, 32796, 32985, 37206, 40698, 44397, 45207, 49599, 62298, 80199, 80919, 104697, 106992, 108729, 108972, 127809, 134667, 135378, 135774, 136818, 136962, 145827, 147492
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OFFSET

1,1


COMMENTS

If negative numbers are included then the sequence is the above together with its reversals.  Robert G. Wilson v, Sep 11 2006


LINKS

Table of n, a(n) for n=1..33.
Kevin Browne, Subtracting the Reversal.


EXAMPLE

459 is a member because 954  459 = 495; 16992 is a member because 29961  16992 = 12969.


MATHEMATICA

Select[Table[n, {n, 200000}], ToExpression[StringReverse[ToString[ # ]]]  # > 0 && Sort[IntegerDigits[ # ]] == Sort[IntegerDigits[ToExpression[StringReverse[ToString[ # ]]]  # ]] &]
fQ[n_] := Block[{id = IntegerDigits@n}, rev = FromDigits@ Reverse@id; rev > n && Sort@id == Sort@IntegerDigits[rev  n]]; Select[ Range@153971, fQ@# &] (* Robert G. Wilson v, Sep 11 2006 *)


CROSSREFS

Cf. A055161, A121969.
Sequence in context: A062043 A124620 A224456 * A055162 A055159 A124694
Adjacent sequences: A121967 A121968 A121969 * A121971 A121972 A121973


KEYWORD

base,nonn


AUTHOR

Tanya Khovanova, Sep 04 2006


STATUS

approved



