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A316477 Last digit to appear in the base-n expansion of Pi. 2
0, 2, 1, 4, 2, 2, 6, 5, 0, 9, 2, 8, 6, 10, 11, 11, 12, 6, 4, 7, 4, 14, 15, 20, 22, 20, 22, 16, 29, 22, 7, 25, 30, 26, 14, 18, 16, 38, 32, 23, 28, 7, 9, 19, 4, 0, 16, 42, 21, 17, 34, 41, 39, 11, 38, 32, 28, 48, 27, 1, 27, 12, 56, 30, 20, 61, 66, 63, 54, 67, 25 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

The number of digits that must be read so as to reach the first appearance of a digit a(n) is A316478(n).

LINKS

Jon E. Schoenfield, Table of n, a(n) for n = 2..5000

EXAMPLE

The decimal (i.e., base-10) expansion of Pi is

  3.14159265358979323846264338327950...

in which each of the digits 1..9 appears before the first appearance of a digit 0, so a(10) = 0.

Using the characters a..f to represent 10..15, the hexadecimal (i.e., base-16) expansion of Pi is

  3.243f6a8885a308d313198a2e03707344a4093822299f31d0

    082efa98ec4e6c89452821e638d01377b...

in which each of the digits 0..a and c..f appears before the first appearance of a digit b, so a(16) = 11.

MATHEMATICA

a[n_] := Block[{r, k=2}, While[n > Length@ Union[r = RealDigits[Pi, n, k n][[1]]], k++]; r[[Max@ Flatten[Position[r, #, 1, 1] & /@ Range[0, n-1]]]]]; Array[a, 71, 2] (* Giovanni Resta, Jul 08 2018 *)

CROSSREFS

Cf. A316478 (Number of base-n digits of Pi that must be read so as to encounter at least one of each digit, 0..n-1).

Expansion of Pi in base b: A004601 (b=2), A004602 (b=3), A004603 (b=4), A004604 (b=5), A004605 (b=6), A004606 (b=7), A006941 (b=8), A004608 (b=9), A000796 (b=10), A068436 (b=11), A068437 (b=12), A068438 (b=13), A068439 (b=14), A068440 (b=15), A062964 (b=16), A060707 (b=60).

Sequence in context: A343998 A300586 A094571 * A104733 A201703 A153281

Adjacent sequences:  A316474 A316475 A316476 * A316478 A316479 A316480

KEYWORD

nonn,base

AUTHOR

Jon E. Schoenfield, Jul 06 2018

STATUS

approved

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Last modified July 24 12:35 EDT 2021. Contains 346273 sequences. (Running on oeis4.)