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A053540 n*9^(n-1). +0
4
1, 18, 243, 2916, 32805, 354294, 3720087, 38263752, 387420489, 3874204890, 38354628411, 376572715308, 3671583974253, 35586121596606, 343151886824415, 3294258113514384, 31501343210481297, 300189270593998242, 2851798070642983299, 27017034353459841780 (list; graph; listen)
OFFSET

1,2

COMMENT

With a different offset, number of n-permutations of 10 objects: p, q, r, s, u, v, w, z, x, y with repetition allowed, containing exactly one u. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 28 2007

LINKS

F. Ellermann, Illustration of binomial transforms

MAPLE

seq(seq(binomial(i, j)*9^(i-1), j =i-1), i=1..20); # - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 28 2007

PROGRAM

(Other) SAGE: [lucas_number2(n, 9, 0)*binomial(n, 1)/9for n in xrange(1, 21)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 12 2009]

CROSSREFS

Related to computing A023052.

Cf. A001787, A053464 and A053469.

Sequence in context: A016247 A021064 A080629 this_sequence A080601 A016186 A081203

Adjacent sequences: A053537 A053538 A053539 this_sequence A053541 A053542 A053543

KEYWORD

nonn

AUTHOR

Barry E. Williams, Jan 15 2000

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), May 29 2001

Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 16 2007

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Last modified November 29 12:42 EST 2009. Contains 167602 sequences.


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