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A034177
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One quarter of quartic factorial numbers.
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14
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1, 8, 96, 1536, 30720, 737280, 20643840, 660602880, 23781703680, 951268147200, 41855798476800, 2009078326886400, 104472072998092800, 5850436087893196800, 351026165273591808000, 22465674577509875712000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 513
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FORMULA
| 4*a(n) = (4*n)(!^4) := product(4*j, j=1..n) = 4^(n-1)*n!; E.g.f. (-1+1/(1-4*x))/4.
a(n)=n!*4^(n-1), n>=1 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 23 2006
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MAPLE
| [seq(n!*4^(n-1), n=1..16)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Sep 23 2006
restart: G(x):=(1-4*x)^(n-3): f[0]:=G(x): for n from 1 to 29 do f[n]:=diff(f[n-1], x) od:x:=0:seq(f[n], n=0..15); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 04 2009]
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MATHEMATICA
| s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 7, 5!, 4}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 08 2008]
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CROSSREFS
| Cf. A007696, A000407, A034176. First column of triangle A048786.
A052570 is an essentially identical sequence. - Philippe DELEHAM, Sep 18 2008
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Nov 12 2009: (Start)
Equals the second right hand column of A167569 divided by 2.
(End)
Sequence in context: A173834 A098430 * A052570 A002168 A114425 A052127
Adjacent sequences: A034174 A034175 A034176 * A034178 A034179 A034180
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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