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 A030442 Values of Newton-Gregory forward interpolating polynomial (1/6)*(4*n^4 - 60*n^3 + 347*n^2 - 927*n + 978). 1

%I

%S 163,57,16,4,1,3,22,86,239,541,1068,1912,3181,4999,7506,10858,15227,

%T 20801,27784,36396,46873,59467,74446,92094,112711,136613,164132,

%U 195616,231429,271951,317578,368722,425811,489289,559616,637268,722737,816531,919174

%N Values of Newton-Gregory forward interpolating polynomial (1/6)*(4*n^4 - 60*n^3 + 347*n^2 - 927*n + 978).

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

%F a(n) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+a(n-5). - _Colin Barker_, May 18 2014

%F G.f.: -(386*x^4-1136*x^3+1361*x^2-758*x+163) / (x-1)^5. - _Colin Barker_, May 18 2014

%F a(n) = A059259(2*n-5,4), n>4. - _Mathew Englander_, May 18 2014

%p A030442:=n->(1/6)*(4*n^4-60*n^3+347*n^2-927*n+978); seq(A030442(n), n=0..40); # _Wesley Ivan Hurt_, May 19 2014

%t Table[(1/6)*(4*n^4 - 60*n^3 + 347*n^2 - 927*n + 978), {n, 0, 40}] (* _Wesley Ivan Hurt_, May 19 2014 *)

%o (PARI) a(n) = (1/6)*(4*n^4-60*n^3+347*n^2-927*n+978); \\ _Michel Marcus_, May 18 2014

%K nonn,easy

%O 0,1

%A Ilias.Kotsireas(AT)lip6.fr (Ilias Kotsireas), Dec 11 1999

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Last modified May 17 15:07 EDT 2021. Contains 343979 sequences. (Running on oeis4.)