id:A151359 - OEIS Search Results

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Triangle read by rows: T(n,k) = number of partitions of [1..k] into n nonempty clumps of sizes 1, 2, 3, 4, 5 or 6 (n >= 0, 0 <= k <= 6n).

+0
4

0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 3, 7, 15, 31, 63, 119, 210, 336, 462, 462, 0, 0, 0, 1, 6, 25, 90, 301, 966, 2989, 8925, 25641, 70455, 183183, 441441, 966966, 1849848, 2858856, 2858856, 0, 0, 0, 0, 1, 10, 65, 350, 1701, 7770, 33985, 143605, 588511 (list; graph; listen)

	OFFSET	`0,11`
	COMMENT	`Row n has 6n+1 entries.`
	LINKS	`David Applegate and N. J. A. Sloane, The Gift Exchange Problem (arXiv:0907.0513, 2009)`
	EXAMPLE	`Triangle begins:` `[0, 1, 1, 1, 1, 1, 1]` `[0, 0, 1, 3, 7, 15, 31, 63, 119, 210, 336, 462, 462]` `[0, 0, 0, 1, 6, 25, 90, 301, 966, 2989, 8925, 25641, 70455, 183183, 441441, 966966, 1849848, 2858856, 2858856]` `[0, 0, 0, 0, 1, 10, 65, 350, 1701, 7770, 33985, 143605, 588511, 2341339, 9032023, 33668635, 120681561, 413104692, 1337944608, 4046710668, 11216721516, 27756632904, 58555088592, 96197645544, 96197645544]` `[0, 0, 0, 0, 0, 1, 15, 140, 1050, 6951, 42525, 246400, 1370985, 7383376, 38657619, 197212015, 980839860, 4752728981, 22399494117, 102410296989, 452572985865, 1924000439361, 7820764020069, 30157961878044, 109184327692440, 365935843649376, 1113006758944080, 2982608000091720, 6696799094545560, 11423951396577720, 11423951396577720]` `...`
	CROSSREFS	`This is one of a sequence of triangles: A144331, A144385, A144643, A151338, A151359, ...` `See A151511, A151512 for other versions.` `Sequence in context: A006739 A119407 A043734 this_sequence A147596 A115567 A043740` `Adjacent sequences: A151356 A151357 A151358 this_sequence A151360 A151361 A151362`
	KEYWORD	`nonn,tabf`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), May 14 2009`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

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