0,2

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

a(n) = 6^n*binomial(n+5, 5); G.f. 1/(1-6*x)^6.

seq(binomial(n+5, 5)*6^n, n=0..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 16 2008

(Other) SAGE:[lucas_number2(n, 6, 0)*binomial(n, 5)/6^5for n in xrange(5, 23)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 13 2009]

A001787, A036071.

Sequence in context: A089909 A049434 A144941 this_sequence A004338 A014772 A110206

Adjacent sequences: A036081 A036082 A036083 this_sequence A036085 A036086 A036087

easy,nonn

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)