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 A098546 Table read by rows: row n has a term T(n,k) for each of the partition(n) partitions of n. T(n,k) = binomial(n,m) where m is the number of parts. 5
 1, 2, 1, 3, 3, 1, 4, 6, 6, 4, 1, 5, 10, 10, 10, 10, 5, 1, 6, 15, 15, 15, 20, 20, 20, 15, 15, 6, 1, 7, 21, 21, 21, 35, 35, 35, 35, 35, 35, 35, 21, 21, 7, 1, 8, 28, 28, 28, 28, 56, 56, 56, 56, 56, 70, 70, 70, 70, 70, 56, 56, 56, 28, 28, 8, 1, 9, 36, 36, 36, 36, 84, 84, 84, 84, 84, 84, 84 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS A035206 and A036038 were used to generate A049009 (Words over signatures). A098346 and A049019 provide another approach to the same end since A098346 times A049019 also yields A049009. (cf. A000312 and A000670). Partitions are in Abramowitz and Stegun order. - Franklin T. Adams-Watters, Nov 20 2006 LINKS M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. FORMULA a(n) = Combin( A036042(n), A036043(n) ) EXAMPLE A036042 begins 1 2 2 3 3 3 4 4 4 4 4 ... A036043 begins 1 1 2 1 2 3 1 2 2 3 4 ... so a(n) begins 1 2 1 3 3 1 4 6 6 4 1 ... CROSSREFS Cf. A090657, A000041 (row lengths), A098545 (row sums), A036036, A036042, A036043. Sequence in context: A122176 A159881 A319539 * A126277 A253273 A055129 Adjacent sequences:  A098543 A098544 A098545 * A098547 A098548 A098549 KEYWORD easy,nonn,tabf AUTHOR Alford Arnold, Sep 14 2004 STATUS approved

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Last modified September 23 15:43 EDT 2020. Contains 337310 sequences. (Running on oeis4.)