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A140346 Binomial(n+8,8)*5^n. 1
1, 45, 1125, 20625, 309375, 4021875, 46921875, 502734375, 5027343750, 47480468750, 427324218750, 3690527343750, 30754394531250, 248400878906250, 1951721191406250, 14963195800781250, 112223968505859375 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

With a different offset, number of n-permutations (n>=8) of 6 objects: t, u, v, z, x, y with repetition allowed, containing exactly eight (8) u's.

If n=8 then a(0)= 1

Example: a(1)=45 because we have

uuuuuuuut, uuuuuuuuv, uuuuuuuuz, uuuuuuuux, uuuuuuuuy,

uuuuuuutu, uuuuuuuvu, uuuuuuuzu, uuuuuuuxu, uuuuuuuyu,

uuuuuutuu, uuuuuuvuu, uuuuuuzuu, uuuuuuxuu, uuuuuuyuu,

uuuuutuuu, uuuuuvuuu, uuuuuzuuu, uuuuuxuuu, uuuuuyuuu,

uuuutuuuu, uuuuvuuuu, uuuuzuuuu, uuuuxuuuu, uuuuyuuuu,

uuutuuuuu, uuuvuuuuu, uuuzuuuuu, uuuxuuuuu, uuuyuuuuu,

uutuuuuuu, uuvuuuuuu, uuzuuuuuu, uuxuuuuuu, uuyuuuuuu,

utuuuuuuu, uvuuuuuuu, uzuuuuuuu, uxuuuuuuu, uyuuuuuuu,

tuuuuuuuu, vuuuuuuuu, zuuuuuuuu, xuuuuuuuu, yuuuuuuuu.

MAPLE

seq(binomial(n+8, 8)*5^n, n=0..18);

PROG

(Other) SAGE:[lucas_number2(n, 5, 0)*binomial(n, 8)/5^8 for n in xrange(8, 25)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]

CROSSREFS

Sequence in context: A010997 A163721 A177728 * A049447 A143400 A173000

Adjacent sequences:  A140343 A140344 A140345 * A140347 A140348 A140349

KEYWORD

nonn

AUTHOR

Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2008

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.