A105273 Troughs in digital expansions of Pi: digits which are smaller than their neighbors.

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

Harvey P. Dale, Table of n, a(n) for n = 1..10000

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

Adjacent sequences: A105270 A105271 A105272 * A105274 A105275 A105276

Keyword

nonn,base

Author

Zak Seidov, Apr 25 2005

Status

approved