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A167586 The fourth row of the ED4 array A167584. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 23 04:16 EST 2020. Contains 331168 sequences. (Running on oeis4.)