A353970 -id:A353970 - cp's OEIS frontend

A353969 Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a factorial number (A000142).

3, 4, 5, 7, 11, 18, 22, 23, 25, 26, 96, 103, 107, 114, 118, 158, 600, 696, 703, 707, 714, 718, 782, 4320, 4920, 5016, 5023, 5027, 5034, 5038, 5222, 35280, 39600, 40200, 40296, 40303, 40307, 40314, 40318, 41222, 322560, 357840, 362160, 362760, 362856, 362863

Offset: 1

Rémy Sigrist, May 12 2022

nonn

The sequence is well defined:
- a(1) = 3,
- for n > 0, let k be such that A000142(k) + 1 + a(1) + ... + a(n) < A000142(k+1),
- then a(n+1) <= A000142(k) + 1.

Rémy Sigrist, C++ program

See A353889 for similar sequences.

Cf. A000142, A353970, A353971.

A353971 Numbers that are not the sum of distinct terms of A353969.

Original entry on oeis.org

1, 2, 6, 13, 17, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800

Offset: 1

Rémy Sigrist, May 14 2022

Also positions of 0's in A353970.

This sequence is infinite as it contains the factorial numbers (A000142).

Rémy Sigrist, C++ program

Cf. A000142, A353969, A353970.

cp's OEIS Frontend

A353969 Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a factorial number (A000142).

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