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 A325553 Number of compositions of n with distinct circular differences up to sign. 7
 1, 1, 1, 1, 1, 1, 7, 21, 31, 41, 87, 99, 191, 245, 381, 501, 735, 883, 1309, 1841, 2589, 3435, 4941, 6857, 9791 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS A composition of n is a finite sequence of positive integers summing to n. The circular differences of a composition c of length k are c_{i + 1} - c_i for i < k and c_1 - c_i for i = k. For example, the circular differences of (1,2,1,3) are (1,-1,2,-2). LINKS EXAMPLE The a(1) = 1 through a(8) = 21 compositions:   (1)  (2)  (3)  (4)  (5)  (6)  (7)    (8)                                 (124)  (125)                                 (142)  (134)                                 (214)  (143)                                 (241)  (152)                                 (412)  (215)                                 (421)  (251)                                        (314)                                        (341)                                        (413)                                        (431)                                        (512)                                        (521)                                        (1124)                                        (1142)                                        (1241)                                        (1421)                                        (2114)                                        (2411)                                        (4112)                                        (4211) MATHEMATICA Table[Length[Select[Join@@Permutations/@IntegerPartitions[n], UnsameQ@@Abs[Differences[Append[#, First[#]]]]&]], {n, 20}] CROSSREFS Cf. A000079, A008965, A167606, A173258, A325324, A325349, A325545, A325549, A325551, A325552, A325553, A325556, A325558. Sequence in context: A160890 A319527 A297178 * A032639 A264619 A015729 Adjacent sequences:  A325550 A325551 A325552 * A325554 A325555 A325556 KEYWORD nonn,more AUTHOR Gus Wiseman, May 11 2019 STATUS approved

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Last modified June 4 11:32 EDT 2020. Contains 334825 sequences. (Running on oeis4.)