A167586 The fourth row of the ED4 array A167584.

76, 372, 1020, 2212, 4140, 6996, 10972, 16260, 23052, 31540, 41916, 54372, 69100, 86292, 106140, 128836, 154572, 183540, 215932, 251940, 291756, 335572, 383580, 435972, 492940, 554676, 621372, 693220, 770412, 853140, 941596

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) = 32*n^3 - 16*n^2 + 120*n - 60.

G.f.: (60*z^3 - 12*z^2 + 68*z + 76)/(1-z)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - G. C. Greubel, Jun 17 2016

Mathematica

LinearRecurrence[{4, -6, 4, -1}, {76, 372, 1020, 2212}, 100] (* G. C. Greubel, Jun 17 2016 *)

Crossrefs

Equals the fourth row of the ED4 array A167584.

Sequence in context: A005571 A233877 A067987 * A234184 A234177 A205926

Adjacent sequences: A167583 A167584 A167585 * A167587 A167588 A167589

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Status

approved