A351060 a(n) is the smallest number larger than a(n-1) that has only three digits in common with a(n-1).

1, 111, 120, 121, 123, 131, 132, 133, 134, 141, 142, 144, 145, 151, 152, 155, 156, 161, 162, 166, 167, 171, 172, 177, 178, 181, 182, 188, 189, 191, 192, 199, 219, 221, 231, 232, 234, 242, 243, 244, 245, 252, 253, 255, 256, 262, 263, 266, 267, 272, 273, 277

Offset

1,2

Comments

Terms computed by Claudio Meller.

Links

Table of n, a(n) for n=1..52.

Example

a(10) = 141 because it is the smallest number greater than a(9) = 134 that has exactly three digits in common.
Similarly, a(33) = 219 because it is the smallest number greater than a(32) = 199 that has exactly three digits in common (the digit 9 of 219 is in common with the first and second 9 of 199).

Prog

(Python)
from itertools import islice
def c(s, t): return sum(t.count(si) for si in s)
def agen(): # generator of terms
    an, target = 1, "1"
    while True:
        yield an
        k = an + 1
        while c(str(k), target) != 3: k += 1
        an, target = k, str(k)
print(list(islice(agen(), 52))) # Michael S. Branicky, Jan 30 2022
(PARI) isok(k, d, va) = {if (#select(x->(x==k), va), return(0)); my(dk=digits(k)); sum(i=1, #dk, #select(x->(x==dk[i]), d)) == 3; }
lista(nn) = {my(va = vector(nn)); va[1] = 1; for (n=2, nn, my(k=va[n-1], d = digits(va[n-1])); while(!isok(k, d, va), k++); va[n] = k; ); va; } \\ Michel Marcus, Jan 31 2022

Crossrefs

Cf. A350444, A350445, A350671, A350672, A351059.

Sequence in context: A211683 A326109 A338111 * A208260 A222724 A343760

Adjacent sequences: A351057 A351058 A351059 * A351061 A351062 A351063

Keyword

nonn,base

Author

Rodolfo Kurchan, Jan 30 2022

Status

approved