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A027604
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n^3 + (n+1)^3 + (n+2)^3 + (n+3)^3 + (n+4)^3.
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2
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100, 225, 440, 775, 1260, 1925, 2800, 3915, 5300, 6985, 9000, 11375, 14140, 17325, 20960, 25075, 29700, 34865, 40600, 46935, 53900, 61525, 69840, 78875, 88660, 99225, 110600, 122815, 135900, 149885, 164800, 180675, 197540
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
P. De Geest, Palindromic Sums of Cubes of Consecutive Integers
Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
| a(n)=+4*a(n-1)-6*a(n-2)+4*a(n-3)-1*a(n-4) for n>=4
Contribution from Bruno Berselli, Jan 24 2011: (Start)
G.f.: 5*(20-35*x+28*x^2-7*x^3)/(1-x)^4.
a(n) = 5*n^3+30*n^2+90*n+100 = A008587(n+2)*A114949(n+2). (End)
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MATHEMATICA
| Table[n^3 + (n + 1)^3 + (n + 2)^3 + (n + 3)^3 + (n + 4)^3, {n, 0, 60}] (* From Vladimir Joseph Stephan Orlovsky, Jun 27 2011 *)
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PROG
| (Sage) [n^3+(n+1)^3+(n+2)^3+(n+3)^3+(n+4)^3 for n in xrange(0, 35)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 03 2008
(MAGMA) [5*n^3+30*n^2+90*n+100: n in [0..40]]; // Vincenzo Librandi, Jun 04 2011
(PARI) a(n)=5*((n+6)*n+18)*n+100 \\ Charles R Greathouse IV, Jun 28 2011
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CROSSREFS
| Sequence in context: A188245 A122467 A185792 * A116145 A104908 A109633
Adjacent sequences: A027601 A027602 A027603 * A027605 A027606 A027607
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KEYWORD
| nonn,easy
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com)
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