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A140802 Binomial(n+3,3)*8^n. +0
2
1, 32, 640, 10240, 143360, 1835008, 22020096, 251658240, 2768240640, 29527900160, 307090161664, 3126736191488, 31267361914880, 307863255777280, 2990671627550720, 28710447624486912, 272749252432625664 (list; graph; listen)
OFFSET

0,2

COMMENT

With a different offset, number of n-permutations (n>=3) of 9 objects: r, s, t, u, v, w, z, x, y with repetition allowed, containing exactly (3) three u's.

Example:

(n=4) a(1)=32

uuur, uuru, uruu, ruuu,

uuus, uusu, usuu, suuu,

uuut, uutu, utuu, tuuu,

uuuv, uuvu, uvuu, vuuu,

uuuw, uuwu, uwuu, wuuu,

uuuz, uuzu, uzuu, zuuu,

uuux, uuxu, uxuu, xuuu,

uuuy, uuyu, uyuu, yuuu

MAPLE

seq(binomial(n+3, 3)*8^n, n=0..19);

PROGRAM

(Other) SAGE:[lucas_number2(n, 8, 0)*binomial(n, 3)/8^3 for n in xrange(3, 20)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 13 2009]

CROSSREFS

Sequence in context: A036903 A013699 A004337 this_sequence A028204 A028190 A028202

Adjacent sequences: A140799 A140800 A140801 this_sequence A140803 A140804 A140805

KEYWORD

nonn

AUTHOR

Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 15 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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