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 A140207 Triangle read by rows in which row n (n>=0) gives the first n terms of A000041. 9
 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 3, 5, 1, 1, 2, 3, 5, 7, 1, 1, 2, 3, 5, 7, 11, 1, 1, 2, 3, 5, 7, 11, 15, 1, 1, 2, 3, 5, 7, 11, 15, 22, 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS Number of partitions of n into distinct parts with maximal size, see A000009. - Reinhard Zumkeller, Jun 13 2009 It appears that T(n,k) is also the total number of occurrences of j in the last j sections of n+1, where j = n-k+1 (cf. A182703). - Omar E. Pol, Feb 07 2012 LINKS Robert Price, Table of n, a(n) for n = 0..1325 (first 50 rows) Francesca Aicardi, Matricial formulas for partitions, arXiv:0806.1273 [math.NT], 2008. [Note that there is an error in the triangle given there.] EXAMPLE Triangle begins: 1 1,1 1,1,2 1,1,2,3 1,1,2,3,5 1,1,2,3,5,7 1,1,2,3,5,7,11 1,1,2,3,5,7,11,15 1,1,2,3,5,7,11,15,22 1,1,2,3,5,7,11,15,22,30 1,1,2,3,5,7,11,15,22,30,42 1,1,2,3,5,7,11,15,22,30,42,56 1,1,2,3,5,7,11,15,22,30,42,56,77 1,1,2,3,5,7,11,15,22,30,42,56,77,101 MATHEMATICA Table[PartitionsP[k], {n, 0, 12}, {k, 0, n}] // Flatten (* Jean-François Alcover, Aug 07 2018 *) CROSSREFS Mirror of triangle A027293. - Omar E. Pol, Feb 07 2012 Sequence in context: A306727 A324209 A228107 * A104763 A027751 A181322 Adjacent sequences:  A140204 A140205 A140206 * A140208 A140209 A140210 KEYWORD nonn,tabl AUTHOR N. J. A. Sloane, Jun 10 2008, based on a suggestion from Gary W. Adamson STATUS approved

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Last modified September 18 07:17 EDT 2021. Contains 347510 sequences. (Running on oeis4.)