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A140520 Binomial(n+9,9)*5^n. 1
1, 50, 1375, 27500, 446875, 6256250, 78203125, 893750000, 9496093750, 94960937500, 902128906250, 8201171875000, 71760253906250, 607202148437500, 4987731933593750, 39901855468750000, 311733245849609375 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

With a different offset, number of n-permutations (n>=9) of 6 objects: t, u, v, z, x, y with repetition allowed, containing exactly nine (9) u's.

Example: a(1)=50 because we have

uuuuuuuuut, uuuuuuuuuv, uuuuuuuuuz, uuuuuuuuux, uuuuuuuuuy,

uuuuuuuutu, uuuuuuuuvu, uuuuuuuuzu, uuuuuuuuxu, uuuuuuuuyu,

uuuuuuutuu, uuuuuuuvuu, uuuuuuuzuu, uuuuuuuxuu, uuuuuuuyuu,

uuuuuutuuu, uuuuuuvuuu, uuuuuuzuuu, uuuuuuxuuu, uuuuuuyuuu,

uuuuutuuuu, uuuuuvuuuu, uuuuuzuuuu, uuuuuxuuuu, uuuuuyuuuu,

uuuutuuuuu, uuuuvuuuuu, uuuuzuuuuu, uuuuxuuuuu, uuuuyuuuuu,

uuutuuuuuu, uuuvuuuuuu, uuuzuuuuuu, uuuxuuuuuu, uuuyuuuuuu,

uutuuuuuuu, uuvuuuuuuu, uuzuuuuuuu, uuxuuuuuuu, uuyuuuuuuu,

utuuuuuuuu, uvuuuuuuuu, uzuuuuuuuu, uxuuuuuuuu. uyuuuuuuuu,

tuuuuuuuuu, vuuuuuuuuu, zuuuuuuuuu, xuuuuuuuuu. yuuuuuuuuu.

MAPLE

seq(binomial(n+9, 9)*5^n, n=0..20);

PROG

(Other) SAGE:[lucas_number2(n, 5, 0)*binomial(n, 9)/5^9 for n in xrange(9, 26)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]

CROSSREFS

Sequence in context: A162205 A162492 A017713 * A114251 A004351 A159177

Adjacent sequences:  A140517 A140518 A140519 * A140521 A140522 A140523

KEYWORD

nonn

AUTHOR

Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 02 2008

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Last modified February 13 18:33 EST 2012. Contains 205535 sequences.