A167547 The fourth row of the ED1 array A167546.

6, 48, 160, 384, 762, 1336, 2148, 3240, 4654, 6432, 8616, 11248, 14370, 18024, 22252, 27096, 32598, 38800, 45744, 53472, 62026, 71448, 81780, 93064, 105342, 118656, 133048, 148560, 165234, 183112, 202236, 222648, 244390, 267504, 292032, 318016

Offset

1,1

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).

Formula

a(n) = 7*n^3 - 7*n^2 + 14*n - 8.

G.f.: (6+24*z+4*z^2+8*z^3)/(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

Mathematica

Table[7*n^3 - 7*n^2 + 14*n - 8, {n, 1, 100}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {6, 48, 160, 384}, 100] (* G. C. Greubel, Jun 15 2016 *)

Crossrefs

Cf. A167546.

Sequence in context: A153796 A250226 A250274 * A244726 A335384 A331668

Adjacent sequences: A167544 A167545 A167546 * A167548 A167549 A167550

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Status

approved