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

1,1

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) = 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

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 *)

Crossrefs

Cf. A167560.

Sequence in context: A114818 A190102 A060673 * A211575 A211583 A211589

Adjacent sequences: A167558 A167559 A167560 * A167562 A167563 A167564

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Status

approved