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A139626 Binomial(n+4,4)*6^n. 6
1, 30, 540, 7560, 90720, 979776, 9797760, 92378880, 831409920, 7205552640, 60526642176, 495217981440, 3961743851520, 31084451758080, 239794342133760, 1822437000216576, 13668277501624320, 101306056776744960 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

With a different offset, number of n-permutations (n=5) of 7 objects t, u, v, w, z, x, y with repetition allowed, containing exactly four (4)u's. Example: a(1)=30 because we have

uuuut, uuutu, uutuu, utuuu, tuuuu,

uuuuv, uuuvu, uuvuu, uvuuu, vuuuu,

uuuuw, uuuwu, uuwuu, uwuuu, wuuuu,

uuuuz, uuuzu, uuzuu, uzuuu, zuuuu,

uuuux, uuuxu, uuxuu, uxuuu, xuuuu,

uuuuy, uuuyu, uuyuu, uyuuu, yuuuu.

LINKS

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

MAPLE

seq(binomial(n+4, 4)*6^n, n=0..22);

PROG

(Other) SAGE:[lucas_number2(n, 6, 0)*binomial(n, 4)/6^4for n in xrange(4, 22)] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 13 2009]

(MAGMA) [6^n* Binomial(n+4, 4): n in [0..20]]; // Vincenzo Librandi, Oct 12 2011

CROSSREFS

Sequence in context: A022754 A050982 A004327 * A037961 A143399 A075510

Adjacent sequences:  A139623 A139624 A139625 * A139627 A139628 A139629

KEYWORD

nonn,easy

AUTHOR

Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2008

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