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A138339 Smallest index in A138343 which starts a plateau of n consecutive integers. 9
0, 7, 4, 12 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

The sequence provides an indication of regions of nearly no

improvements of the sequence of convergents to Pi when measured by

the count of correct digits after rounding. A "plateau" of n consecutive integers

is defined by a(n) = j such that A138343(j) = A138343(j+n-1) and

such that none of the intermediate A138343 with index j+1 up to j+n-2 drop below this level.

EXAMPLE

a(3)=4 because the A138343(4) to A138343(6) are the earliest plateau of length 3.

The fact that there is a local maximum at A138343(5)=9 above the plateau is consistent with the definition.

CROSSREFS

Cf. A138335, A138336, A138337, A138338, A138343.

Sequence in context: A103227 A165415 A069199 * A107827 A070406 A181138

Adjacent sequences:  A138336 A138337 A138338 * A138340 A138341 A138342

KEYWORD

nonn,less,base,bref

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Mar 16 2008

EXTENSIONS

Definition and values adapted to redefined A138343 - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 01 2009

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Last modified February 15 17:13 EST 2012. Contains 205828 sequences.