A244729 a(n) = 10*n^3.

0, 10, 80, 270, 640, 1250, 2160, 3430, 5120, 7290, 10000, 13310, 17280, 21970, 27440, 33750, 40960, 49130, 58320, 68590, 80000, 92610, 106480, 121670, 138240, 156250, 175760, 196830, 219520, 243890, 270000, 297910, 327680, 359370, 393040, 428750, 466560

Offset: 0

Author

Vincenzo Librandi, Jul 05 2014

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Crossrefs

Cf. similar sequences listed in A244725.

Programs

Magma

[10*n^3: n in [0..40]];

Magma

I:=[0,10,80,270]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]];

Mathematica

Table[10 n^3, {n, 0, 40}] (* or *) CoefficientList[Series[10 x (1 + 4 x + x^2)/(1 - x)^4, {x, 0, 40}], x]

Formula

G.f.: 10*x*(1 + 4*x + x^2)/(1 - x)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3.