A116065 Numbers n, not ending in 0, such that n times its digital reverse gives a number made of nontrivial runs of identical digits.

88, 385, 583, 1426, 5929, 6241, 9295, 284213, 312482, 1001099, 9901001, 15046244, 44264051, 101127144, 176452305, 220741304

Offset

1,1

Comments

A run of length 1 is trivial.

Neither n nor (n times its digital reverse) may end in zero. [From Harvey P. Dale, Jan 04 2012]

Links

Table of n, a(n) for n=1..16.

Example

15046244 * 44364051 = 666007711774444.

Mathematica

okQ[n_]:=Module[{idn=IntegerDigits[n], revnt}, revnt=n FromDigits[Reverse[ idn]]; Last[idn]!=0&&Last[IntegerDigits[revnt]]!=0&&Min[Length/@Split[ IntegerDigits[revnt]]]>1]; Select[Range[225000000], okQ] (* Harvey P. Dale, Jan 04 2012 *)

Crossrefs

Cf. A001694, A033023.

Sequence in context: A235019 A241846 A064022 * A234777 A234770 A052049

Adjacent sequences: A116062 A116063 A116064 * A116066 A116067 A116068

Keyword

nonn,base

Author

Giovanni Resta, Feb 13 2006

Status

approved