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COMMENT
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With a different offset, number of n-permutations of 7 objects:s,t,u,v,z,x, y with repetition allowed, containing exactly five (5) u's. Example: a(1)=36 because we have uuuuus, uuuusu, uuusuu, uusuuu, usuuuu, suuuuu, uuuuut, uuuutu, uuutuu, uutuuu, utuuuu, tuuuuu, uuuuuv, uuuuvu, uuuvuu, uuvuuu, uvuuuu, vuuuuu, uuuuuz, uuuuzu, uuuzuu, uuzuuu, uzuuuu, zuuuuu, uuuuux, uuuuxu, uuuxuu, uuxuuu, uxuuuu, xuuuuu, uuuuuy, uuuuyu, uuuyuu, uuyuuu, uyuuuu, yuuuuu. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 16 2008
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