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A140220 Binomial(n+7,7)*5^n. 1
1, 40, 900, 15000, 206250, 2475000, 26812500, 268125000, 2513671875, 22343750000, 189921875000, 1553906250000, 12301757812500, 94628906250000, 709716796875000, 5204589843750000, 37407989501953125, 264056396484375000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

With a different offset, number of n-permutations (n>=7) of 6 objects: t, u, v, z, x, y with repetition allowed, containing exactly seven (7) u's.

If n=7 then a(0)= 1

Example: a(1)=40 because we have

uuuuuuut, uuuuuuuv, uuuuuuuz, uuuuuuux, uuuuuuuy,

uuuuuutu, uuuuuuvu, uuuuuuzu, uuuuuuxu, uuuuuuyu,

uuuuutuu, uuuuuvuu, uuuuuzuu, uuuuuxuu, uuuuuyuu,

uuuutuuu, uuuuvuuu, uuuuzuuu, uuuuxuuu, uuuuyuuu,

uuutuuuu, uuuvuuuu, uuuzuuuu, uuuxuuuu, uuuyuuuu,

uutuuuuu, uuvuuuuu, uuzuuuuu, uuxuuuuu, uuyuuuuu,

utuuuuuu, uvuuuuuu, uzuuuuuu, uxuuuuuu, uyuuuuuu,

tuuuuuuu, vuuuuuuu, zuuuuuuu, xuuuuuuu, yuuuuuuu.

MAPLE

seq(binomial(n+7, 7)*5^n, n=0..18);

PROG

(Other) SAGE: [lucas_number2(n, 5, 0)*binomial(n, 7)/5^7 for n in xrange(7, 25)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]

CROSSREFS

Sequence in context: A013346 A013348 A013349 * A130610 A004339 A172510

Adjacent sequences:  A140217 A140218 A140219 * A140221 A140222 A140223

KEYWORD

nonn

AUTHOR

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

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Last modified February 16 08:13 EST 2012. Contains 205893 sequences.