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A173155 Binomial[n + 5, 5]*8^n . 4
1, 48, 1344, 28672, 516096, 8257536, 121110528, 1660944384, 21592276992, 268703891456, 3224446697472, 37520834297856, 425236122042368, 4710307813392384, 51140484831117312, 545498504865251328 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

With a different offset, number of n-permutations (n>=5) of 9 objects: p, r, s, t, u, v, z, x, y with repetition allowed, containing exactly five (5) u's.

LINKS

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

FORMULA

a(n) = C(n + 5, 5)*8^n, n>=0 .

G.f.: 1/(1-8*x)^6. - Vincenzo Librandi, Oct 16 2011

MATHEMATICA

Table[Binomial[n + 5, 5]*8^n, {n, 0, 20}]

PROG

(MAGMA) [8^n* Binomial(n+5, 5): n in [0..20]]; // Vincenzo Librandi, Oct 16 2011

CROSSREFS

A081138, A140802, A175210, A140406, A053107, A141054

Sequence in context: A141407 A004341 A222199 * A174113 A089272 A004362

Adjacent sequences:  A173152 A173153 A173154 * A173156 A173157 A173158

KEYWORD

nonn,easy

AUTHOR

Zerinvary Lajos, Feb 11 2010

STATUS

approved

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Last modified December 22 16:49 EST 2014. Contains 252364 sequences.