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 A363005 Number of sequences of n distinct integers whose Gilbreath transform is (1, 1, ..., 1). 4
 1, 1, 2, 4, 12, 56, 416, 4764, 84272, 2278740, 92890636, 5659487836 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n) is even for all n >= 2, because if the sequence (x_1, ..., x_n) has Gilbreath transform (1, ..., 1), so has the sequence (2 - x_1, ..., 2 - x_n). Negative terms are permitted. LINKS Table of n, a(n) for n=0..11. EXAMPLE For n = 4, the following 6 sequences, together with the sequences obtained by replacing each term x by 2-x in each of these sequences, have Gilbreath transform (1, 1, 1, 1), so a(4) = 12. (1, 2, 0, -4), (1, 2, 0, -2), (1, 2, 0, 4), (1, 2, 4, 0), (1, 2, 4, 6), (1, 2, 4, 8). CROSSREFS Cf. A080839 (increasing sequences), A363002 (nondecreasing sequences), A363003, A363004 (distinct positive integers). Sequence in context: A158569 A020106 A099928 * A000568 A177921 A301481 Adjacent sequences: A363002 A363003 A363004 * A363006 A363007 A363008 KEYWORD nonn,more AUTHOR Pontus von Brömssen, May 13 2023 STATUS approved

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Last modified February 27 14:46 EST 2024. Contains 370376 sequences. (Running on oeis4.)