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A133611
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A triangular array of numbers with row sums 1 2 5 15 52 203 877 4140 21147 ..., cf. A000110, related to factorization and number of parts in Murasaki diagrams.
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0
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1, 1, 1, 2, 2, 1, 5, 5, 4, 1, 15, 15, 14, 7, 1, 52, 52, 51, 36, 11, 1, 203, 203, 202, 171, 81, 16, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| When the Bell multisets are encoded as described in A130274, the seven case in the example can be coded as 19578, 15942, 30873, 26427, 35642, 29491 and 32938.
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FORMULA
| Equals A048993 * A000012 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 29 2008
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EXAMPLE
| The array begins
1
1 1
2 2 1
5 5 4 1
15 15 14 7 1
52 52 51 36 11 1
...
a(14) = 7 because only seven of the 52 Bell multisets can be generated by attaching a new stroke to the third element in the set of diaqrams with four strokes.
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CROSSREFS
| Cf. A000110 A130274.
Cf. A048993.
Sequence in context: A108087 A123158 A185414 * A010094 A019710 A118806
Adjacent sequences: A133608 A133609 A133610 * A133612 A133613 A133614
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KEYWORD
| nonn,tabl,uned
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Sep 18 2007
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EXTENSIONS
| Definition not clear to me - N. J. A. Sloane (njas(AT)research.att.com), Sep 18 2007
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