A138533 - OEIS

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A138533

Resort the multinomial sequence A036038 by source partition as described in A126442, A129306 and A136101.

1, 2, 1, 6, 3, 1, 24, 12, 4, 1, 6, 120, 60, 20, 5, 1, 30, 10, 720, 360, 120, 30, 6, 1, 180, 60, 15, 20, 90 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`Multinomials count permutations of multisets and also paths in lattices; for example, tere are six paths (from null to full) through the lattice of divisors for signature 36: 2233 2323 2332 3223 3232 and 3322.`
	EXAMPLE	`a(11) is six because the eleventh least prime signature in source format is 36 the signature for partition 2+2 the ninth partition and A036038(9) = 6.` `The tables begin:` `1.......2.......6.......24......120.....720....5040.....40320......362880` `........1.......3.......12.......60.....360....2520.....20160......181440` `................1.......4........20.....120.....840......6720.......60480` `........................1........5.......30.....210......1680.......15120` `.. ..............................1........6......42......336........3024` `..........................................1.......7.......56.........504` `..................................................1........8..........72` `...........................................................1...........9` `.......................................................................1` `........................6........30.....180....1260....10080........90720` `.................................10......60.....420.....3360........30240` `...`
	CROSSREFS	`Cf. A000142 A001710 A005651 (column sums) A025487 A053445.` `Cf. A173333. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 19 2010]` `Sequence in context: A103905 A103209 A089900 * A173333 A096334 A107867` `Adjacent sequences: A138530 A138531 A138532 * A138534 A138535 A138536`
	KEYWORD	`nonn,tabf`
	AUTHOR	`Alford Arnold (Alford1940(AT)aol.com), Mar 27 2008`

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Last modified February 17 23:39 EST 2012. Contains 206085 sequences.