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A084144 First digit occurring consecutively exactly n times in Pi's decimal expansion. +0
3
3, 3, 1, 7, 0, 9, 3, 4, 7 (list; graph; listen)
OFFSET

1,1

COMMENT

A simple variation on this sequence could ignore the 3 before the decimal point, making a(1)=1 instead.

LINKS

Dave Andersen, Pi-Search Page

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

EXAMPLE

a(3) = 1 because the digit string <8>111<7>, where n=3, d=1, d1=8<>1, and

d2=7<>1 in the following general form, occurs in the decimal expansion of Pi

with a smaller starting index than all occurrences for n=3 of the string

<d1>dd...d (n d's)<d2> for d=0, 2, 3, ..., or 9, where all of these n-digit

strings are immediately preceded by some d1<>d and followed by some d2<>d.

A049523(3) = 154 gives the starting index of this first occurrence of exactly

three consecutive equal digits; i.e. the first 1 in this 111 is the 154th

digit of Pi counting the 3 before the decimal point - add 1 to Pi-Search page

result - but ignoring the decimal point itself. (<d1> is of course not

completely applicable for the case n=1 in determining a(1).>

CROSSREFS

Cf. A049523 (starting index), A084145 (consecutively at least n times).

Sequence in context: A138464 A117279 A049323 this_sequence A116401 A106479 A114422

Adjacent sequences: A084141 A084142 A084143 this_sequence A084145 A084146 A084147

KEYWORD

base,nonn

AUTHOR

Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 15 2003

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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