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A001094
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n + n*(n-1)*(n-2)*(n-3).
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2
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0, 1, 2, 3, 28, 125, 366, 847, 1688, 3033, 5050, 7931, 11892, 17173, 24038, 32775, 43696, 57137, 73458, 93043, 116300, 143661, 175582, 212543, 255048, 303625, 358826, 421227, 491428, 570053, 657750, 755191, 863072, 982113, 1113058
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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FORMULA
| G.f.:x*(23*x^3+3*x^2-3*x+1)/(1-x)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Jul 26 2009]
a(0)=0, a(1)=1, a(2)=2, a(3)=3, a(4)=28, a(n)=5*a(n-1)-10*a(n-2)+ 10*a(n-3)- 5*a(n-4)+a(n-5) [From Harvey P. Dale, Feb 02 2012]
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MATHEMATICA
| Table[n+n(n-1)(n-2)(n-3), {n, 0, 40}] (* or *) LinearRecurrence[ {5, -10, 10, -5, 1}, {0, 1, 2, 3, 28}, 40] (* From Harvey P. Dale, Feb 02 2012 *)
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PROG
| (MAGMA) [n + n*(n-1)*(n-2)*(n-3): n in [0..35]]; // Vincenzo Librandi, Apr 30 2011
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CROSSREFS
| Sequence in context: A009249 A012697 A191470 * A052848 A206592 A126266
Adjacent sequences: A001091 A001092 A001093 * A001095 A001096 A001097
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Ray Wills [ rwills(AT)vmprofs.estec.esa.nl ]
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 19 2000
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