

A082591


Starting position of the first occurrence of n in the decimal expansion of Pi such that a(n) > a(n1) for n >= 1.


0



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
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OFFSET

0,1


COMMENTS

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 lefttoright (with intervening digit strings of course)  but with some strings overlapping if m >= 34. a(10)=163 ==> 163+21=164 digits are necessary to contain in the 11 strings 0, 1, 2, ..., 10 in order.


LINKS



EXAMPLE

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.


CROSSREFS



KEYWORD

base,nonn


AUTHOR



STATUS

approved



