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Search: id:A081128
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| A081128 |
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12th binomial transform of (0,1,0,0,0,0,0,0,......). |
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+0
3
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| 0, 1, 24, 432, 6912, 103680, 1492992, 20901888, 286654464, 3869835264, 51597803520, 681091006464, 8916100448256, 115909305827328, 1497904875307008, 19258776968232960, 246512345193381888
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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With a different offset, number of n-permutations of 13 objects:n, o, p, q, r, s, t, u, v, w, z, x, y with repetition allowed, containing exactly one u. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 28 2007
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FORMULA
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a(n)=24a(n-1)-132a(n-2); a(0)=0, a(1)=1. a(n)=n12^(n-1) G.f. x/(1-12x)^2
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MAPLE
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seq(seq(binomial(i, j)*12^(i-1), j =i-1), i=0..16); # - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 28 2007
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CROSSREFS
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Cf. A081127, A053541.
Cf. A038327.
Sequence in context: A062193 A016268 A051546 this_sequence A059158 A062149 A083195
Adjacent sequences: A081125 A081126 A081127 this_sequence A081129 A081130 A081131
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 07 2003
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