A093031 Create a histogram of the digits used so far in the sequence. Add to the last element of the sequence the least used digit on the histogram. If two or more digits have the same score in the histogram, add the smallest. 0 is to be interpreted as 10 and so comes after 9. So if 0 is the digit to add, add 10 instead. Start the sequence with 0.

0, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 33, 37, 41, 47, 53, 59, 65, 73, 81, 87, 93, 99, 105, 111, 117, 123, 129, 135, 141, 147, 153, 159, 165, 171, 177, 183, 189, 195, 201, 207, 213, 219, 225, 231, 237, 243, 249, 255, 261, 267, 273, 279, 285, 291, 297, 303

Offset

1,3

Comments

a(135) = a(134) + 10 = 821 is the first time 10 is added. - Michael S. Branicky, Oct 01 2024

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Prog

(Python)
from itertools import islice
from collections import Counter
def agen(): # generator of terms
    an, c = 0, Counter()
    while True:
        yield an
        c.update(list(str(an)))
        m, argm = float('inf'), None
        for d in "1234567890":
            if c[d] < m:
                m, argm = c[d], d
        an += 10 if argm == "0" else int(argm)
print(list(islice(agen(), 60))) # Michael S. Branicky, Oct 01 2024

Crossrefs

Sequence in context: A357377 A062505 A230104 * A378175 A305468 A143452

Adjacent sequences: A093028 A093029 A093030 * A093032 A093033 A093034

Keyword

nonn,base

Author

Eric Angelini, May 07 2004

Extensions

Offset changed to 1 by Michael S. Branicky, Oct 01 2024

Status

approved