A167561 The fourth row of the ED2 array A167560.

24, 80, 192, 384, 680, 1104, 1680, 2432, 3384, 4560, 5984, 7680, 9672, 11984, 14640, 17664, 21080, 24912, 29184, 33920, 39144, 44880, 51152, 57984, 65400, 73424, 82080, 91392, 101384, 112080, 123504, 135680, 148632, 162384, 176960

Offset: 1

Author

Johannes W. Meijer, Nov 10 2009

Keywords

• easy
• nonn

Links

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

Crossrefs

Cf. A167560.

Programs

Mathematica

Table[4*n^3 + 4*n^2 + 16*n, {n, 1, 100}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {24, 80, 192, 384}, 100] (* G. C. Greubel, Jun 15 2016 *)

Formula

a(n) = 4*n^3 + 4*n^2 + 16*n.

G.f.: (0*z^3 + 16*z^2 - 16*z + 24)/(1-z)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - G. C. Greubel, Jun 15 2016