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 A211993 A list of ordered partitions of the positive integers. 4
 1, 2, 1, 1, 1, 1, 1, 2, 1, 3, 4, 2, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 2, 2, 1, 4, 1, 3, 2, 5, 6, 3, 3, 4, 2, 2, 2, 2, 5, 1, 3, 2, 1, 4, 1, 1, 2, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 1, 4, 1, 1, 1, 3, 2, 1, 1, 5, 1, 1, 2, 2, 2, 1, 4, 2, 1, 3, 3, 1, 6, 1, 3, 2, 2, 5, 2, 4, 3, 7 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The order of the partitions of the odd integers is the same as A211992. The order of the partitions of the even integers is the same as A026792. LINKS Table of n, a(n) for n=1..131. EXAMPLE A table of partitions. -------------------------------------------- . Expanded Geometric Partitions arrangement model -------------------------------------------- 1; 1; |*| -------------------------------------------- 2; . 2; |* *| 1,1; 1,1; |o|*| -------------------------------------------- 1,1,1; 1,1,1; |o|o|*| 2,1; . 2,1; |o o|*| 3; . . 3; |* * *| -------------------------------------------- 4,; . . . 4; |* * * *| 2,2; . 2,. 2; |* *|* *| 3,1; . . 3,1; |o o o|*| 2,1,1,; . 2,1,1; |o o|o|*| 1,1,1,1; 1,1,1,1; |o|o|o|*| -------------------------------------------- 1,1,1,1,1; 1,1,1,1,1; |o|o|o|o|*| 2,1,1,1; . 2,1,1,1; |o o|o|o|*| 3,1,1; . . 3,1,1; |o o o|o|*| 2,2,1; . 2,. 2,1; |o o|o o|*| 4,1; . . . 4,1; |o o o o|*| 3,2; . . 3,. 2; |* * *|* *| 5; . . . . 5; |* * * * *| -------------------------------------------- 6; . . . . . 6; |* * * * * *| 3,3; . . 3,. . 3; |* * *|* * *| 4,2; . . . 4,. 2; |* * * *|* *| 2,2,2; . 2,. 2,. 2; |* *|* *|* *| 5,1; . . . . 5,1; |o o o o o|*| 3,2,1; . . 3,. 2,1; |o o o|o o|*| 4,1,1; . . . 4,1,1; |o o o o|o|*| 2,2,1,1; . 2,. 2,1,1; |o o|o o|o|*| 3,1,1,1; . . 3,1,1,1; |o o o|o|o|*| 2,1,1,1,1; . 2,1,1,1,1; |o o|o|o|o|*| 1,1,1,1,1,1; 1,1,1,1,1,1; |o|o|o|o|o|*| -------------------------------------------- Note that * is a unitary element of every part of the last section of j. CROSSREFS Rows sums give A036042, n>=1. Other versions are A026792, A211992, A211994. See also A211983, A211984, A211989, A211999. Spiral arrangements are A211985-A211988, A211995-A211998. Cf. A000041, A026905, A135010, A138121, A138137, A138879, A182703, A206437. Sequence in context: A205565 A064531 A274468 * A185646 A037829 A270992 Adjacent sequences: A211990 A211991 A211992 * A211994 A211995 A211996 KEYWORD nonn,tabf AUTHOR Omar E. Pol, Aug 18 2012 STATUS approved

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Last modified May 24 12:09 EDT 2024. Contains 372773 sequences. (Running on oeis4.)