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 A186412 Sum of all parts in the n-th region of the set of partitions of j, if 1<=n<=A000041(j). 30
 1, 3, 5, 2, 9, 3, 12, 2, 6, 3, 20, 3, 7, 4, 25, 2, 6, 3, 13, 5, 4, 38, 3, 7, 4, 14, 3, 9, 5, 49, 2, 6, 3, 13, 5, 4, 23, 4, 10, 6, 5, 69, 3, 7, 4, 14, 3, 9, 5, 27, 5, 4, 15, 7, 6, 87, 2, 6, 3, 13, 5, 4, 23, 4, 10, 6, 5, 39, 3, 9, 5, 19, 4, 12, 7, 6, 123 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Also triangle read by rows: T(j,k) = sum of all parts in the k-th region of the last section of the set of partitions of j. See Example section. For more information see A135010. - Omar E. Pol, Nov 26 2011 For the definition of "region" see A206437. - Omar E. Pol, Aug 19 2013 LINKS FORMULA a(A000041(n)) = A046746(n). EXAMPLE Contribution from Omar E. Pol, Nov 26 2011 (Start): Written as a triangle: 1; 3; 5; 2,9; 3,12; 2,6,3,20; 3,7,4,25; 2,6,3,13,5,4,38; 3,7,4,14,3,9,5,49; 2,6,3,13,5,4,23,4,10,6,5,69; 3,7,4,14,3,9,5,27,5,4,15,7,6,87; 2,6,3,13,5,4,23,4,10,6,5,39,3,9,5,19,4,12,7,6,123; (End) From Omar E. Pol, Aug 18 2013: (Start) Illustration of initial terms (first seven regions): .                                             _ _ _ _ _ .                                     _ _ _  |_ _ _ _ _| .                           _ _ _ _  |_ _ _|       |_ _| .                     _ _  |_ _ _ _|                 |_| .             _ _ _  |_ _|     |_ _|                 |_| .       _ _  |_ _ _|             |_|                 |_| .   _  |_ _|     |_|             |_|                 |_| .  |_|   |_|     |_|             |_|                 |_| . .   1     3       5     2         9       3          12 . (End) CROSSREFS Row sums of triangle A186114 and of triangle A193870. Row j has length A187219(j). Row sums give A138879. Right border gives A046746, j >= 1. Records give A046746, j >= 1. Partial sums give A182244. Cf. A000041, A002865, A066186, A135010, A138121, A138879, A194436, A194437, A194438, A194439, A194446, A194447. Sequence in context: A026143 A075626 A152649 * A322982 A275846 A273668 Adjacent sequences:  A186409 A186410 A186411 * A186413 A186414 A186415 KEYWORD nonn,tabf AUTHOR Omar E. Pol, Aug 12 2011 STATUS approved

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Last modified October 14 17:31 EDT 2019. Contains 328022 sequences. (Running on oeis4.)