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A367353 Analog of A121805, but starting with 9. 9
9, 100, 101, 112, 133, 164, 206, 268, 351, 364, 408, 492, 517, 592, 618, 705, 762, 789, 887, 966, 1027, 1098, 1179, 1270, 1271, 1282, 1303, 1334, 1375, 1426, 1487, 1558, 1639, 1730, 1731, 1742, 1763, 1794, 1835, 1886, 1947, 2019, 2111, 2123, 2155, 2207, 2279, 2371 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Contains 19511030 terms, the last being 999999936.
LINKS
MATHEMATICA
b = 10; m = b - 1; a[1] = 9; 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 islice
def agen(start=9): # 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.
Sequence in context: A077710 A088780 A132544 * A017018 A027769 A266098
KEYWORD
nonn,base,fini
AUTHOR
N. J. A. Sloane, Nov 17 2023
STATUS
approved

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Last modified April 12 10:04 EDT 2024. Contains 371627 sequences. (Running on oeis4.)