A354005 Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a positive Pell number (A000129).

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

Author

Rémy Sigrist, May 13 2022

Keywords

• nonn

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.

Links

• Rémy Sigrist, C++ program

Crossrefs

See A353889 for similar sequences.

Cf. A000129, A354006, A354007.