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A106352 Number of compositions of n into 3 parts such that no two adjacent parts are equal. 1
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; refs; listen; history; internal format)
OFFSET

4,2

COMMENTS

3*a(n) is total number of parts of multiplicity 1 in all compositions of n into 3 parts. - Vladeta Jovovic (vladeta(AT)eunet.rs), 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+4*x^2-3*x^3+4*x^4)/((1-x^6)*(1-x)^2).

CROSSREFS

Column 3 of A106351. Cf. A003242.

Sequence in context: A168132 A085544 A154789 * A098017 A185869 A020894

Adjacent sequences:  A106349 A106350 A106351 * A106353 A106354 A106355

KEYWORD

nonn

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Apr 29 2005

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Last modified February 16 05:39 EST 2012. Contains 205860 sequences.