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A367354
Analog of A121805, but starting with 10.
9
10, 11, 23, 58, 139, 231, 243, 275, 328, 412, 436, 501, 516, 581, 596, 662, 688, 775, 833, 871, 889, 988, 1069, 1160, 1161, 1172, 1193, 1224, 1265, 1316, 1377, 1448, 1529, 1620, 1621, 1632, 1653, 1684, 1725, 1776, 1837, 1908, 1989, 2081, 2093, 2125, 2177, 2249, 2341, 2353
OFFSET
1,1
COMMENTS
Contains 20573 terms, the last of which is 999936.
LINKS
MATHEMATICA
a[1] = b = 10; m = b - 1; 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, 50] (* Michael De Vlieger, Nov 18 2023, after Jean-François Alcover at A121805 *)
PROG
(Python)
from itertools import islice
def agen(start=10): # 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: A061590 A173900 A214957 * A326627 A309486 A326588
KEYWORD
nonn,fini,base
AUTHOR
N. J. A. Sloane, Nov 17 2023
STATUS
approved