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A354005
Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a positive Pell number (A000129).
4
3, 4, 6, 7, 10, 11, 17, 24, 41, 58, 99, 116, 140, 239, 280, 338, 577, 816, 1393, 1970, 3363, 3940, 4756, 8119, 9512, 11482, 19601, 27720, 47321, 66922, 114243, 133844, 161564, 275807, 323128, 390050, 665857, 941664, 1607521, 2273378, 3880899, 4546756, 5488420
OFFSET
1,1
COMMENTS
The sequence is well defined:
- a(1) = 3,
- for n > 0, let k be such that A000129(k) + 1 + a(1) + ... + a(n) < A000129(k+1),
- then a(n+1) <= A000129(k) + 1.
PROG
(C++) See Links section.
CROSSREFS
See A353889 for similar sequences.
Sequence in context: A229792 A101299 A143837 * A330172 A206903 A157611
KEYWORD
nonn
AUTHOR
Rémy Sigrist, May 13 2022
STATUS
approved