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A167547 The fourth row of the ED1 array A167546. 3

%I #10 Jun 15 2016 12:33:57

%S 6,48,160,384,762,1336,2148,3240,4654,6432,8616,11248,14370,18024,

%T 22252,27096,32598,38800,45744,53472,62026,71448,81780,93064,105342,

%U 118656,133048,148560,165234,183112,202236,222648,244390,267504,292032,318016

%N The fourth row of the ED1 array A167546.

%H G. C. Greubel, <a href="/A167547/b167547.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

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

%F G.f.: (6+24*z+4*z^2+8*z^3)/(1-z)^4.

%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - _G. C. Greubel_, Jun 15 2016

%t 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 *)

%Y Cf. A167546.

%K easy,nonn

%O 1,1

%A _Johannes W. Meijer_, Nov 10 2009

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)