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 A206441 Triangle read by rows. T(n,k) = number of distinct parts in the k-th region of the last section of the set of partitions of n. 0
 1, 2, 2, 1, 3, 1, 3, 1, 2, 1, 4, 1, 2, 1, 4, 1, 2, 1, 3, 1, 1, 5, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 3, 1, 1, 4, 1, 2, 1, 1, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n) is also the number of distinct parts in the n-th region of the shell model of partitions (see A135010 and A206437). LINKS EXAMPLE The first region in the last section of the set of partitions of 6 looks like this: .        ** There is only one part, so T(6,1) = 1. The second region in the last section of the set of partitions of 6 looks like this: .        **** .          ** There are two distinct parts, so T(6,2) = 2. The third region in the last section of the set of partitions of 6 looks like this: .        *** There is only one part, so T(6,3) = 1. The 4th region in the last section of the set of partitions of 6 looks like this: .        ****** .           *** .            ** .            ** .             * .             * .             * .             * .             * .             * .             * There are four distinct parts, so T(6,4) = 4. Written as a triangle: 1; 2; 2; 1, 3; 1, 3; 1, 2, 1, 4; 1, 2, 1, 4; 1, 2, 1, 3, 1, 1, 5; 1, 2, 1, 3, 1, 2, 1, 5; 1, 2, 1, 3, 1, 1, 4, 1, 2, 1, 1, 6; CROSSREFS Row n has length A187219(n). Cf. A135010, A138121, A141285, A186412, A193870, A194436, A194437, A194438, A194439, A194446, A194447. Sequence in context: A255542 A117500 A297626 * A175245 A167413 A259176 Adjacent sequences:  A206438 A206439 A206440 * A206442 A206443 A206444 KEYWORD nonn,tabf,more AUTHOR Omar E. Pol, Feb 13 2012 STATUS approved

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Last modified April 19 20:40 EDT 2019. Contains 322291 sequences. (Running on oeis4.)