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A160699 A bisection of A063522. 2

%I #14 Sep 08 2022 08:45:45

%S 0,17,154,531,1268,2485,4302,6839,10216,14553,19970,26587,34524,43901,

%T 54838,67455,81872,98209,116586,137123,159940,185157,212894,243271,

%U 276408,312425,351442,393579,438956,487693,539910,595727,655264,718641,785978,857395

%N A bisection of A063522.

%H G. C. Greubel, <a href="/A160699/b160699.txt">Table of n, a(n) for n = 0..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(0)=0, a(1)=17, a(2)=154, a(3)=531, a(n) = 4*a(n-1) -6*a(n-2) +4*a(n-3) -a(n-4). - _Harvey P. Dale_, May 07 2011

%t Table[LegendreP[3,2n],{n,0,50}]

%t LinearRecurrence[{4,-6,4,-1},{0,17,154,531},151] (* _Harvey P. Dale_, May 07 2011 *)

%o (PARI) a(n)=pollegendre(3,2*n) \\ _Charles R Greathouse IV_, Mar 19 2017

%o (Magma) I:=[0,17,154,531]; [n le 4 select I[n] else 4*Self(n-1) - 6*Self(n-2) +4*Self(n-3) -Self(n-4): n in [1..50]]; // _G. C. Greubel_, May 02 2018

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Nov 17 2009

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