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A331882 a(n) is the number of digits in the decimal expansion of the fractional part of Pi needed to contain n occurrences of an n-digit substring. 1
1, 22, 219, 1805, 25499, 168882, 3566679, 29325629 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..8.

EXAMPLE

a(1) = 1, because we need 1 digit to have the first 1-digit substring ('1') appearing 1 time;

a(2) = 22, because we need 22 digits (1415926535897932384626) to have the first 2-digit substring ('26') appearing 2 times;

a(3) is 219, because we need 219 digits (1415....933446) to have the first 3-digit substring ('446') appearing 3 times;

and so on.

CROSSREFS

Cf. A000796, A159345, A331881 (the repeated n-digit substrings).

Sequence in context: A224052 A224305 A224369 * A008453 A066573 A290362

Adjacent sequences:  A331879 A331880 A331881 * A331883 A331884 A331885

KEYWORD

nonn,base,hard,more

AUTHOR

Stijn Dierckx, Jan 30 2020

STATUS

approved

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Last modified June 17 12:26 EDT 2021. Contains 345080 sequences. (Running on oeis4.)