A152017 a(n) = n^5-n^4-n^3-n^2-n.

0, -3, 2, 123, 684, 2345, 6222, 14007, 28088, 51669, 88890, 144947, 226212, 340353, 496454, 705135, 978672, 1331117, 1778418, 2338539, 3031580, 3879897, 4908222, 6143783, 7616424, 9358725, 11406122, 13797027, 16572948, 19778609, 23462070

Offset: 0

Author

Vladimir Joseph Stephan Orlovsky, Nov 20 2008

Keywords

• sign
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Crossrefs

Cf. A152015, A152016.

Programs

Magma

[n^5-n^4-n^3-n^2-n: n in [0..40]]; // Vincenzo Librandi, Nov 18 2011

Mathematica

lst={};Do[AppendTo[lst,n^5-n^4-n^3-n^2-n],{n,0,5!}];lst
Table[n^5-Total[n^Range[4]],{n,0,30}] (* or *) LinearRecurrence[ {6,-15,20,-15,6,-1},{0,-3,2,123,684,2345},30](* Harvey P. Dale, Sep 13 2011 *)

Formula

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), n>5. - Harvey P. Dale, Sep 13 2011

G.f. x*(-3+20*x+66*x^2+36*x^3+x^4) / (x-1)^6. - R. J. Mathar, Nov 17 2011

Extensions

Changed offset to 0 from Bruno Berselli, Nov 02 2011