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URL: https://oeis.org/A362100

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A362100
Numbers k such that 8^k starts with k.
11
4, 10, 18, 652, 1299, 8225, 12949, 56230, 156277, 3227298, 144225157, 316850589680, 359895233752, 1985241175478, 21526907610829, 94259396915122, 349984375554060, 780041937578130, 3379436972611915, 3901396004255537, 9881806648178657, 13015030023783171, 1166163641446377759, 1452149034516118448, 5389488184490473108
OFFSET
1,1
MAPLE
filter:= proc(n) local d1, d2, t;
t:= 8^n;
d1:= ilog10(t);
d2:= ilog10(n);
floor(t/10^(d1-d2)) = n
end proc:
select(filter, [$1..10^5]); # Robert Israel, Apr 10 2023
PROG
(Python)
from itertools import count, islice
def A362100_gen(startvalue=1): # generator of terms >= startvalue
a = 1<<3*(m:=max(startvalue, 1))
for n in count(m):
if (s:=str(n))==str(a)[:len(s)]:
yield n
a <<= 3
A362100_list = list(islice(A362100_gen(), 5)) # Chai Wah Wu, Apr 10 2023
CROSSREFS
b^k starts with k: A131493 (b=pi), A131494 (b=e), A100129 (b=2), A362096 (b=3), A320930 (b=4), A362097 (b=5), A362098 (b=6), A362099 (b=7), A362100 (b=8), A362101 (b=9).
Sequence in context: A387414 A073262 A353189 * A033263 A145731 A162958
KEYWORD
nonn,base
AUTHOR
N. J. A. Sloane, Apr 10 2023, based on an email from Keith F. Lynch
EXTENSIONS
a(12)-a(25) from Max Alekseyev, Nov 09 2025
STATUS
approved