A069478 First differences of A069477, successive differences of (n+1)^5 - n^5.

360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800, 1920, 2040, 2160, 2280, 2400, 2520, 2640, 2760, 2880, 3000, 3120, 3240, 3360, 3480, 3600, 3720, 3840, 3960, 4080, 4200, 4320, 4440, 4560, 4680, 4800, 4920, 5040, 5160, 5280

Offset: 1

Author

Eli McGowan (ejmcgowa(AT)mail.lakeheadu.ca), Apr 11 2002

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A022521, A068236, A069477.

Programs

Magma

[120*(n+2): n in [1..50]]; // G. C. Greubel, Nov 11 2018

Mathematica

Differences[#[[2]]-#[[1]]&/@Partition[Range[50]^5,2,1],3] (* Harvey P. Dale, Jan 28 2013 *)
120(Range[50] +2) (* G. C. Greubel, Nov 11 2018 *)

PARI

vector(50, n, 120*(n+2)) \\ G. C. Greubel, Nov 11 2018

Formula

a(n) = 120*(n+2).

From Chai Wah Wu, Nov 11 2018: (Start)

a(n) = 2*a(n-1) - a(n-2) for n > 2.

G.f.: x*(-240*x + 360)/(x - 1)^2. (End)

E.g.f.: 120*(-2 + (2+x)*exp(x)). - G. C. Greubel, Nov 11 2018

Extensions

Corrected by T. D. Noe, Mar 14 2008