A352323 Positive numbers that are not the sum of distinct Pell numbers (A000129).

4, 9, 10, 11, 16, 21, 22, 23, 24, 25, 26, 27, 28, 33, 38, 39, 40, 45, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 74, 79, 80, 81, 86, 91, 92, 93, 94, 95, 96, 97, 98, 103, 108, 109, 110, 115, 120, 121, 122, 123, 124, 125, 126

Offset: 1

Author

Amiram Eldar, Mar 12 2022

Keywords

• nonn

Comments

Alternatively, those positive integers whose Pell representation contains no digit 2. - Jeffrey Shallit, Jan 08 2025

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• L. Carlitz, Richard Scoville, and V. E. Hoggatt, Jr., Pellian Representations, The Fibonacci Quarterly, Vol. 10, No. 5 (1972), pp. 449-488.

Crossrefs

Cf. A000129.

Programs

Mathematica

pell = LinearRecurrence[{2, 1}, {1, 2}, 7]; Complement[Range[pell[[-1]]], Select[Union[Plus @@@ Subsets[pell]], 0 < # <= pell[[-1]] &]]