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A167547 The fourth row of the ED1 array A167546. 3
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 (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) = 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 A005353 A047927

Adjacent sequences:  A167544 A167545 A167546 * A167548 A167549 A167550

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Nov 10 2009

STATUS

approved

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Last modified January 26 17:22 EST 2020. Contains 331280 sequences. (Running on oeis4.)