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 A335123 Minimum part of the n-th integer partition in Abramowitz-Stegun order (sum/length/lex); a(0) = 0. 1
 0, 1, 2, 1, 3, 1, 1, 4, 2, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 6, 3, 2, 1, 2, 1, 1, 1, 1, 1, 1, 7, 3, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 4, 3, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 4, 3, 2, 1, 3, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS OEIS Wiki, Orderings of partitions Wikiversity, Lexicographic and colexicographic order FORMULA a(n) = A055396(A334433(n)). EXAMPLE Triangle begins:   0   1   2 1   3 1 1   4 2 1 1 1   5 2 1 1 1 1 1   6 3 2 1 2 1 1 1 1 1 1   7 3 2 1 2 1 1 1 1 1 1 1 1 1 1   8 4 3 2 1 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 MATHEMATICA Table[If[n==0, {0}, Min/@Sort[IntegerPartitions[n]]], {n, 0, 8}] CROSSREFS Row lengths are A000041. Partition minima of A334301. The length of the same partition is A036043. The Heinz number of the same partition is A334433. The number of distinct parts in the same partition is A334440. The maximum of the same partition is A334441. The version for reversed partitions is A335124. Reversed partitions in Abramowitz-Stegun (sum/length/lex) order are A036036. Partitions in (sum/length/revlex) order are A334439. Cf. A026791, A049085, A103921, A124734, A185974, A193073, A334302, A334433. Sequence in context: A209235 A062534 A143349 * A182715 A088425 A141294 Adjacent sequences:  A335120 A335121 A335122 * A335124 A335125 A335126 KEYWORD nonn,tabf AUTHOR Gus Wiseman, May 24 2020 STATUS approved

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Last modified August 10 22:22 EDT 2020. Contains 336403 sequences. (Running on oeis4.)