id:A067924 - OEIS Search Results

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Triangle T(n,k) in which n-th row gives degrees of irreducible representations of symmetric group S_n. (cf. A060240) but now rows are sorted as indicated in A059797 with p(n) entries on each row, where p(n) = A000041(n).

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1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 1, 4, 6, 4, 1, 5, 5, 1, 5, 10, 10, 5, 1, 9, 16, 9, 5, 5, 1, 6, 15, 20, 15, 6, 1, 14, 35, 35, 14, 14, 21, 21, 14, 1, 7, 21, 35, 35, 21, 7, 1, 20, 64, 90, 64, 20, 28, 70, 56, 56, 70, 28, 14, 42, 14 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`Number of entries on each row is A000041 p(n) Row sums generate sequence A000085: 1 2 4 10 26 76 ... Sum of squares generates A000142 e.g. - 11 + 44 + 66 +44 + 11 + 55 +5*5 = 5! = 120`
	EXAMPLE	`A059797 begins 2 5 5 9 16 9 so row six of this sequence begins 1 5 10 10 5 1 9 16 9 ...`
	CROSSREFS	`Cf. A000041, A000085, A000142, A059797, A060240.` `Sequence in context: A129439 A129453 A129455 this_sequence A056670 A030189 A114162` `Adjacent sequences: A067921 A067922 A067923 this_sequence A067925 A067926 A067927`
	KEYWORD	`nice,nonn`
	AUTHOR	`Alford Arnold (alford1940(AT)aol.com), Mar 04 2002`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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