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Search: id:A098546
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| A098546 |
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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. |
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4
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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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 (FrankTAW(AT)Netscape.net), Nov 20 2006
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LINKS
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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].
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FORMULA
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a(n) = Combin( A036042(n), A036043(n) )
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EXAMPLE
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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 ...
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CROSSREFS
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Cf. A090657, A000041 (row lengths), A098545 (row sums), A036036, A036042, A036043.
Sequence in context: A143328 A122176 A159881 this_sequence A126277 A055129 A133804
Adjacent sequences: A098543 A098544 A098545 this_sequence A098547 A098548 A098549
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KEYWORD
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easy,nonn,tabf
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Sep 14 2004
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