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A084144
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First digit occurring consecutively exactly n times in Pi's decimal expansion.
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2
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3, 3, 1, 7, 0, 9, 3, 4, 7, 6, 1, 7, 8, 9, 6
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OFFSET
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1,1
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COMMENTS
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A simple variation on this sequence could ignore the 3 before the decimal point, making a(1)=1 instead.
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LINKS
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EXAMPLE
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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).>
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CROSSREFS
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Cf. A049523 (starting index), A084145 (consecutively at least n times).
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KEYWORD
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nonn,base,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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