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A133070
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n^5-n^3-n^2. (Exponents are the prime numbers in decreasing order).
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2
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0, -1, 20, 207, 944, 2975, 7524, 16415, 32192, 58239, 98900, 159599, 246960, 368927, 534884, 755775, 1044224, 1414655, 1883412, 2468879, 3191600, 4074399, 5142500, 6423647, 7948224, 9749375, 11863124, 14328495, 17187632, 20485919, 24272100, 28598399, 33520640, 39098367, 45394964
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n) = n^5-n^3-n^2
G.f.: x*(-1+72*x^2+22*x^3+26*x+x^4)/(x-1)^6. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
a(0)=0, a(1)=-1, a(2)=20, a(3)=207, a(4)=944, a(5)=2975, a(n)= 6*a(n-1)- 15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6) [From Harvey P. Dale, Jul 23 2011]
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EXAMPLE
| a(7)=16415 because 7^5=16807, 7^3=343, 7^2=49 and we can write 16807-343-49=16415.
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MATHEMATICA
| Table[n^5-n^3-n^2, {n, 0, 40}] (* or *) LinearRecurrence[ {6, -15, 20, -15, 6, -1}, {0, -1, 20, 207, 944, 2975}, 41] (* From Harvey P. Dale, Jul 23 2011 *)
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PROG
| (MAGMA)[n^5-n^3-n^2: n in [0..50]][From V. Librandi, Dec 15 2010]
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CROSSREFS
| Cf. A000290, A000578, A000584, A011379, A045991, A100019.
Sequence in context: A099197 A041766 A121088 * A135179 A161513 A162359
Adjacent sequences: A133067 A133068 A133069 * A133071 A133072 A133073
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KEYWORD
| sign
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Nov 01 2007
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EXTENSIONS
| More terms from Vincenzo Librandi, Dec 15 2010
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