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A353980
Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a primorial number (A002110).
4
3, 4, 5, 7, 8, 9, 24, 28, 29, 31, 32, 36, 180, 204, 208, 209, 211, 212, 213, 214, 215, 216, 222, 2100, 2124, 2280, 2304, 2308, 2309, 2311, 2312, 2313, 2314, 2315, 2316, 2514, 27720, 29820, 29844, 30000, 30024, 30028, 30029, 30031, 30032, 30033, 30034, 30035
OFFSET
1,1
COMMENTS
The sequence is well defined:
- a(1) = 3,
- for n > 0, let k be such that A002110(k) + 1 + a(1) + ... + a(n) < A002110(k+1),
- then a(n+1) <= A002110(k) + 1.
PROG
(C++) See Links section.
CROSSREFS
See A353966 for similar sequences.
Sequence in context: A081376 A055074 A035059 * A137832 A137838 A352486
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 13 2022
STATUS
approved