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A105273
Troughs in digital expansions of Pi: digits which are smaller than their neighbors.
1
1, 1, 2, 3, 7, 2, 4, 2, 2, 0, 1, 1, 3, 3, 0, 0, 4, 2, 0, 1, 0, 2, 0, 2, 0, 2, 3, 0, 1, 0, 1, 2, 2, 0, 4, 0, 3, 0, 0, 1, 2, 3, 0, 1, 4, 4, 0, 0, 0, 3, 0, 4, 4, 0, 1, 2, 0, 5, 5, 1, 4, 5, 4, 2, 6, 1, 2, 1, 0, 0, 1, 4, 5, 2, 0, 0, 2, 4, 1, 3, 0, 2, 0, 1, 1, 3, 2, 0, 1, 1, 4, 1, 0, 0, 2, 2, 2, 0, 1, 1, 3, 3, 2
OFFSET
1,3
LINKS
FORMULA
d[i]<d[i+1]&&d[i]<d[i-1]
MATHEMATICA
Transpose[Select[Partition[RealDigits[Pi, 10, 500][[1]], 3, 1], Sign[ Differences[ #]]=={-1, 1}&]][[2]] (* Harvey P. Dale, Dec 24 2014 *)
CROSSREFS
Sequence in context: A358969 A205129 A236290 * A174925 A204986 A160910
KEYWORD
nonn,base
AUTHOR
Zak Seidov, Apr 25 2005
STATUS
approved