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A175516
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a(n) = smallest positive even integer k such that k or one of its left substrings is divisible by any integer from {1..n}.
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2
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2, 2, 6, 12, 60, 60, 252, 504, 504, 504, 7260, 7260, 10296, 11760, 11760, 11760, 56160, 56160, 198016, 198016, 1176480, 1323008, 2992500, 6240366, 13442580, 13442580, 37536408, 37536408, 90725804, 90725804, 319800096, 319800096, 319800096, 800640126, 2201169600, 2201169600, 4656965040, 5250966084, 5250966084
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Hugo van der Sanden, A169858: C source code to calculate terms (has an option to compute A175516).
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PROG
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(Python)
from itertools import count, islice
def agen(): # generator of terms
n = 1
for k in count(2, 2):
s = str(k)
prefixes = [int(s[:i+1]) for i in range(len(s))]
if all(any(ki%m == 0 for ki in prefixes) for m in range(3, n+1)):
yield k; n += 1
while any(ki%n == 0 for ki in prefixes):
yield k; n += 1
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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