id:A106352 - OEIS Search Results

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Number of compositions of n into 3 parts such that no two adjacent parts are equal.

+0
2

1, 2, 7, 9, 15, 21, 28, 35, 46, 54, 66, 78, 91, 104, 121, 135, 153, 171, 190, 209, 232, 252, 276, 300, 325, 350, 379, 405, 435, 465, 496, 527, 562, 594, 630, 666, 703, 740, 781, 819, 861, 903, 946, 989, 1036, 1080, 1128, 1176, 1225, 1274, 1327, 1377, 1431 (list; graph; listen)

	OFFSET	`4,2`
	COMMENT	`3*a(n) is total number of parts of multiplicity 1 in all compositions of n into 3 parts. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Apr 27 2006`
	LINKS	`A. Knopfmacher and H. Prodinger, On Carlitz compositions, European Journal of Combinatorics, Vol. 19, 1998, pp. 579-589.`
	FORMULA	`G.f. x^4(1+4x^2-3x^3+4x^4)/((1-x^6)*(1-x)^2).`
	CROSSREFS	`Column 3 of A106351. Cf. A003242.` `Sequence in context: A074244 A102994 A085544 this_sequence A098017 A020894 A022113` `Adjacent sequences: A106349 A106350 A106351 this_sequence A106353 A106354 A106355`
	KEYWORD	`nonn`
	AUTHOR	`Christian G. Bower (bowerc(AT)usa.net), Apr 29 2005`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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