A349918 Irregular table read by rows; the first row contains 1; for n > 1, the n-th row contains the base-n digits of the number whose base-(n-1) expansion is the concatenation of the previous rows.

1, 1, 1, 0, 2, 1, 3, 1, 3, 3, 1, 3, 0, 5, 0, 0, 4, 4, 1, 0, 4, 4, 1, 2, 1, 4, 5, 6, 0, 5, 3, 6, 0, 4, 2, 2, 6, 2, 1, 1, 5, 3, 0, 3, 0, 3, 1, 3, 5, 5, 6, 0, 6, 7, 5, 2, 4, 3, 7, 6, 7, 2, 1, 7, 6, 2, 3, 5, 0, 1, 2, 4, 4, 1, 5, 6, 0, 3, 0, 5, 4, 3, 0, 3, 3, 5, 6, 6, 3

Offset

1,5

Comments

This sequence generalizes A309737 beyond the decimal base.

Links

Table of n, a(n) for n=1..89.

Rémy Sigrist, PARI program for A349918

Example

Table begins:
    1;
    1;
    1, 0;
    2, 1, 3;
    1, 3, 3, 1, 3, 0;
    5, 0, 0, 4, 4, 1, 0, 4, 4, 1, 2;
    1, 4, 5, 6, 0, 5, 3, 6, 0, 4, 2, 2, 6, 2, 1, 1, 5, 3, 0, 3, 0, 3;
    ...

Prog

(PARI) See Links section.
(Python)
from sympy.ntheory.digits import digits
def fromdigits(d, b):
    n = 0
    for di in d: n *= b; n += di
    return n
def auptor(rows):
    alst = [1]
    for n in range(2, rows+1):
        alst.extend(digits(fromdigits(alst, n-1), n)[1:])
    return alst
print(auptor(8)) # Michael S. Branicky, Dec 05 2021

Crossrefs

Cf. A309737.

Sequence in context: A048864 A379315 A003139 * A244797 A308659 A145652

Adjacent sequences: A349915 A349916 A349917 * A349919 A349920 A349921

Keyword

nonn,tabf,base

Author

Rémy Sigrist, Dec 05 2021

Status

approved