A363004 Number of sequences of n distinct positive integers whose Gilbreath transform is (1, 1, ..., 1).

1, 1, 1, 1, 2, 7, 40, 355, 4819, 99242, 3049155, 138762035

Offset

0,5

Links

Table of n, a(n) for n=0..11.

Example

For n = 5, the a(5) = 7 sequences are:
  (1, 2, 4, 6,  8),
  (1, 2, 4, 6, 10),
  (1, 2, 4, 8,  6),
  (1, 2, 4, 8, 10),
  (1, 2, 4, 8, 12),
  (1, 2, 4, 8, 14),
  (1, 2, 4, 8, 16).

Crossrefs

Cf. A080839 (increasing sequences), A363002 (nondecreasing sequences), A363003, A363005 (distinct integers).

Sequence in context: A224677 A064626 A137731 * A008608 A028441 A006455

Adjacent sequences: A363001 A363002 A363003 * A363005 A363006 A363007

Keyword

nonn,more

Author

Pontus von Brömssen, May 13 2023

Status

approved