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Search: id:A036039
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| A036039 |
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Triangle of multinomial coefficients read by rows. |
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+0
24
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| 1, 1, 1, 2, 3, 1, 6, 8, 3, 6, 1, 24, 30, 20, 20, 15, 10, 1, 120, 144, 90, 40, 90, 120, 15, 40, 45, 15, 1, 720, 840, 504, 420, 504, 630, 280, 210, 210, 420, 105, 70, 105, 21, 1, 5040, 5760, 3360, 2688, 1260, 3360, 4032, 3360, 1260, 1120, 1344, 2520, 1120, 1680, 105, 420
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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The sequence of row lengths is A000041(n), n>=1, (partition numbers).
Number of permutations whose cycle structure is the given partition. Row sums are factorials (A000142). - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jan 12 2006
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REFERENCES
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Abramowitz and Stegun, Handbook, p. 831, column labeled "M_2".
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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, December 1972 [alternative scanned copy].
W. Lang, First ten rows and polynomials.
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EXAMPLE
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1; 1,1; 2,3,1; 6,8,3,6,1; 24,30,20,20,15,10,1; ...
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CROSSREFS
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Cf. A036036-A036040.
Cf. A102189 (rows reversed).
Sequence in context: A076631 A035485 A074306 this_sequence A092271 A054115 A100822
Adjacent sequences: A036036 A036037 A036038 this_sequence A036040 A036041 A036042
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KEYWORD
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nonn,easy,nice,tabf
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AUTHOR
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njas
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EXTENSIONS
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More terms from David W. Wilson (davidwwilson(AT)comcast.net).
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