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A353966
Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a positive Fibonacci number.
5
4, 6, 10, 12, 19, 25, 40, 62, 110, 178, 288, 466, 576, 644, 754, 1974, 2152, 2262, 3948, 8362, 11556, 15504, 35422, 43784, 48342, 66286, 150050, 198392, 209948, 467861, 896352, 1357215, 2191229, 4389456, 8351641, 11405774, 18454930, 29860704, 48315634
OFFSET
1,1
COMMENTS
The sequence is well defined:
- a(1) = 4,
- for n > 0, let k be such that A000045(k) + 1 + a(1) + ... + a(n) < A000045(k+1),
- then a(n+1) <= A000045(k) + 1.
PROG
(C++) See Links section.
CROSSREFS
See A353889 for similar sequences.
Sequence in context: A295523 A122171 A310580 * A073161 A272777 A310581
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 12 2022
STATUS
approved