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A276512 a(n) = smallest integer not yet in the sequence with no digits in common with a(n-2); a(0)=0, a(1)=1. 6
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 22, 20, 13, 14, 24, 23, 15, 16, 26, 25, 17, 18, 28, 27, 19, 30, 32, 12, 40, 33, 21, 29, 34, 31, 50, 42, 36, 35, 41, 44, 37, 38, 45, 46, 39, 51, 47, 43, 52, 55, 48, 49, 53, 56, 60, 70, 54, 58, 61, 62, 57, 59, 63, 64, 71, 72, 65, 66, 73, 74, 68, 69, 75 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
This is not a permutation of the nonnegative integers. E.g. 123456789 and 1023456789 (the smallest pandigital number) are not members.
a(n) = n for n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 34, 84, 104, 105, 1449, 2889, 3183, ...
LINKS
MATHEMATICA
s={0, 1}; Do[a=s[[-2]]; n=2; While[MemberQ[s, n]||Intersection [IntegerDigits[a], IntegerDigits[n]]≠{}, n++]; AppendTo[s, n], {100}]; s
PROG
(Python)
from itertools import count, islice, product as P
def only(s, D=1): # numbers with >= D digits only from s
yield from (int("".join(p)) for d in count(D) for p in P(s, repeat=d))
def agen(): # generator of terms
aset, an1, an, minan = {0, 1}, 0, 1, 2
yield from [0, 1]
while True:
an1, an, s = an, minan, set(str(an1))
use = "".join(c for c in "0123456789" if c not in s)
for an in only(use, D=len(str(minan))):
if an not in aset: break
aset.add(an)
yield an
while minan in aset: minan += 1
print(list(islice(agen(), 75))) # Michael S. Branicky, Jun 30 2022
CROSSREFS
Sequence in context: A004186 A034704 A362076 * A023792 A221221 A355224
KEYWORD
nonn,base
AUTHOR
Zak Seidov and Eric Angelini, Sep 06 2016
STATUS
approved

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Last modified July 18 13:34 EDT 2024. Contains 374378 sequences. (Running on oeis4.)