A367350 Analog of A121805, but starting with 6.

6, 73, 104, 145, 196, 258, 341, 354, 397, 471, 485, 540, 545, 601, 617, 693, 730, 737, 815, 873, 912, 941, 960, 969, 1060, 1061, 1072, 1093, 1124, 1165, 1216, 1277, 1348, 1429, 1520, 1521, 1532, 1553, 1584, 1625, 1676, 1737, 1808, 1889, 1980, 1981, 1992, 2014, 2056, 2118

Offset

1,1

Comments

Contains 209534289952018960 terms, the last term being a(209534289952018960) = 9999999999999999936.

Links

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Mathematica

b = 10; m = b - 1; a[1] = 6; a[n_] := a[n] = For[r = Mod[a[n - 1], b]; y = 0, y <= m, y++, If[y == IntegerDigits[#, b][[1]], Return[#]] &[a[n - 1] + b r + y]]; Array[a, 45] (* Michael De Vlieger, Nov 18 2023, after Jean-François Alcover at A121805 *)

Prog

(Python)
from itertools import count, islice
def agen(start=6): # generator of terms
    an, y = start, 1
    while y < 10:
        yield an
        an, y = an + 10*(an%10), 1
        while y < 10:
            if str(an+y)[0] == str(y):
                an += y
                break
            y += 1
print(list(islice(agen(), 50))) # Michael S. Branicky, Nov 18 2023

Crossrefs

Comma sequences in base 10, starting with 1, 2, 4, 5, 6, 7, 8, 9, 10 are A121805, A139284, A366492, A367337, A367350, A367351, A367352, A367353, A367354. Starting with 3 is trivial, and those starting with 11, 12, 13 are essentially duplicates.

Cf. A330128, A330129.

Sequence in context: A328814 A203433 A008562 * A041063 A105324 A179568

Adjacent sequences: A367347 A367348 A367349 * A367351 A367352 A367353

Keyword

nonn,base,fini

Author

N. J. A. Sloane, Nov 17 2023

Status

approved