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A353983
Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a Catalan number (A000108).
4
3, 4, 6, 9, 12, 13, 28, 31, 34, 59, 62, 65, 90, 145, 297, 328, 673, 1001, 1298, 2134, 3432, 4433, 7501, 11934, 15366, 26624, 41990, 53924, 95302, 149226, 191216, 343672, 534888, 684114, 1247426, 1931540, 2466428, 4553977, 7020405, 8951945, 16710880, 25662825
OFFSET
1,1
COMMENTS
The sequence is well defined:
- a(1) = 3,
- for n > 0, let k be such that A000108(k) + 1 + a(1) + ... + a(n) < A000108(k+1),
- then a(n+1) <= A000108(k) + 1.
PROG
(C++) See Links section.
CROSSREFS
See A353889 for similar sequences.
Sequence in context: A022297 A010430 A191287 * A260109 A283777 A202171
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 13 2022
STATUS
approved