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A036084 Expansion of 1/(1-6*x)^6. 10
1, 36, 756, 12096, 163296, 1959552, 21555072, 221709312, 2161665792, 20175547392, 181579926528, 1584697540608, 13469929095168, 111904026329088, 911218500108288, 7289748000866304, 57406765506822144, 445746649817677824 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

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

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..400

FORMULA

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

MAPLE

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

PROG

(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]

(MAGMA) [6^n* Binomial(n+5, 5): n in [0..20]]; // Vincenzo Librandi, Oct 12 2011

CROSSREFS

Cf. A001787, A036071.

Sequence in context: A089909 A049434 A144941 * A004338 A014772 A110206

Adjacent sequences:  A036081 A036082 A036083 * A036085 A036086 A036087

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 16 07:32 EST 2012. Contains 205874 sequences.