A260628 Union of missing numbers in first 10, 100, 1000, 10000, ... digits after the decimal point in expansion of Pi.

0, 7, 8, 12, 13, 18, 22, 24, 29, 31, 36, 47, 52, 54, 55, 56, 57, 60, 61, 63, 66, 68, 72, 73, 76, 77, 85, 87, 90, 91, 96, 103, 106, 107, 108, 114, 123, 124, 125, 126, 131, 135, 140, 143, 144, 149, 150, 154, 156, 157, 158, 161, 162, 163, 166, 167, 168, 175, 180

Offset

1,2

Comments

Analogous to A228988 and A260627.

Links

Table of n, a(n) for n=1..59.

MIT Student Information Processing Board, One billion (10^9) digits of pi.

Example

In the first 10^1 digits of Pi after the decimal (1415926535), the digits 0, 7 and 8 do not appear, so they are members of this sequence.
In the first 10^2 digits of Pi after the decimal, the terms 12, 13, 18, ... 90, 91, 96 do not appear, so they are members of this sequence.

Prog

(Python)
with open("newseq.txt", "w") as keep:
....for a in range(1, 8):
........start = 0
........best = 0
........with open("pi-billion.txt", "r") as f:
............g = f.read(10**a)
............while start < 10**a:
................if g.find(str(start)) == -1:
....................keep.write(str(start)+"\n")
....................best = start
................start += 1
# David Consiglio, Jr., Nov 11 2015
# http://stuff.mit.edu/afs/sipb/contrib/pi/pi-billion.txt

Crossrefs

Cf. A228988, A260627.

Sequence in context: A050796 A106630 A050798 * A280999 A024706 A050901

Adjacent sequences: A260625 A260626 A260627 * A260629 A260630 A260631

Keyword

nonn,base

Author

David Consiglio, Jr., Nov 11 2015

Status

approved