

A108533


Strong digits in the decimal expansion of Pi.


3



4, 9, 6, 5, 8, 9, 9, 8, 6, 6, 8, 7, 9, 5, 8, 8, 9, 7, 6, 9, 9, 9, 7, 5, 5, 8, 9, 7, 9, 9, 3, 7, 8, 6, 4, 6, 8, 6, 8, 9, 9, 8, 6, 8, 3, 8, 5, 4, 7, 6, 9, 8, 8, 8, 5, 3, 8, 3, 6, 6, 7, 9, 8, 6, 9, 5, 5, 8, 3, 7, 5, 9, 8, 8, 8, 7, 5, 8, 7, 9, 8, 1, 5, 9, 6, 9, 8, 9, 9, 8, 9, 4, 8, 8, 9, 6, 6, 9, 4, 6, 8, 7, 6, 8, 3
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OFFSET

1,1


COMMENTS

In the decimal expansion of Pi, balanced digits are much more rare than weak or strong ones.


LINKS

Table of n, a(n) for n=1..105.


EXAMPLE

In the decimal expansion of Pi: 3,1,4,1,5,9,2,6,5,3,5,8,9,7,9,3,2,3,8,4,6,2, the first two strong digits are 4 and 9 because 4>(1+1)/2 and 9>(5+2)/2.


MATHEMATICA

re=RealDigits[N[Pi, 300]][[1]]; b={}; Do[r=re[[n]]; If[r>(re[[n1]]+re[[n+1]])/2, b=Append[b, r]], {n, 2, 299}]; A108533=b
sdQ[{a_, b_, c_}]:=b>Mean[{a, c}]; Transpose[Select[Partition[RealDigits[ Pi, 10, 300][[1]], 3, 1], sdQ]][[2]] (* Harvey P. Dale, Nov 12 2011 *)


CROSSREFS

Cf. A108534 (weak digits), A108535 (positions of balanced digits).
Sequence in context: A169917 A059729 A184988 * A200414 A248866 A168608
Adjacent sequences: A108530 A108531 A108532 * A108534 A108535 A108536


KEYWORD

nonn,base


AUTHOR

Zak Seidov, Jun 08 2005


STATUS

approved



