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Search: id:A082591
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| A082591 |
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Starting position of the first occurrence of n in the decimal expansion of Pi such that a(n) > a(n-1) for n >= 1. |
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+0
1
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| 32, 37, 53, 64, 70, 90, 98, 99, 101, 122, 163, 174, 220, 281, 295, 314, 396, 428, 446, 495, 600, 650, 661, 698, 803, 822, 841, 977, 1090, 1124, 1358, 1435, 1501, 1667, 1668, 1719, 1828, 1926, 1968, 1987, 2007, 2161, 2210, 2236, 2261, 2305, 2416, 2509, 2555
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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a(m)=c means that c + digit_length(m) - 1 is the minimal number of decimal digits of Pi after the decimal point containing all m+1 digit strings 0, 1, 2, ..., m in increasing order from left-to-right (with intervening digit strings of course) - but with some strings overlapping if m >= 34. a(10)=163 ==> 163+2-1=164 digits are necessary to contain in the 11 strings 0, 1, 2, ..., 10 in order.
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LINKS
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Dave Andersen, Pi-Search Page
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
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a(0) = 32, the position of the first 0 in the decimal expansion of Pi.
a(1) = 37, the position of the first 1 after the first 0.
a(33) = 1667, the starting position of the first string 33 such that
a(33) > a(32)=1501. a(34) = 1668, the starting position of the first string 34
such that a(34) > a(33)=1667. Note that these occurrences of 33 and 34 overlap.
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CROSSREFS
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Cf. A014777 (position of first n).
Sequence in context: A095457 A045226 A030094 this_sequence A070624 A039778 A167309
Adjacent sequences: A082588 A082589 A082590 this_sequence A082592 A082593 A082594
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KEYWORD
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base,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), May 13 2003
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