

A116056


n and pi(n) are both made of nontrivial runs of identical digits, where pi(n)=A000720(n).


1



33, 8833, 66644, 66777, 117766, 118811, 990000, 1144000, 9997777, 115522333, 116660044, 116661111, 1100088555, 1100088855, 1100111100, 1100111111, 1100111333, 1100112200, 1100112211, 1100112222, 2277334444, 2277334455, 2277334466, 2277334477, 2277335500, 2288811222
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OFFSET

1,1


COMMENTS

A run of length 1 is trivial.
Up to 10^18 there are only 5 prime terms: 9997777, 1122991155533399, 44770077777722233, 440009996622997711, 442244499338866333.  Giovanni Resta, Sep 13 2019


LINKS

Giovanni Resta, Table of n, a(n) for n = 1..418 (terms < 10^18)


EXAMPLE

pi(118811) = 11199, pi(9997777) = 664444.


MATHEMATICA

zyQ[n_] := Min[Length /@ Split[IntegerDigits[n]]] > 1; Select[Range[10^7], zyQ[#] && zyQ[PrimePi[#]] &] (* Giovanni Resta, Sep 13 2019 *)


CROSSREFS

Cf. A000720, A033023, A103357.
Sequence in context: A269793 A060705 A061687 * A232148 A229845 A232306
Adjacent sequences: A116053 A116054 A116055 * A116057 A116058 A116059


KEYWORD

nonn,base


AUTHOR

Giovanni Resta, Feb 13 2006


EXTENSIONS

More terms from Giovanni Resta, Sep 13 2019


STATUS

approved



