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%I #16 Jan 03 2016 14:41:50
%S 6,39,78,95,82,4,-248,-904,-2362,-5235,-10398,-19035,-32686,-53294,
%T -83252,-125450,-183322,-260893,-362826,-494469,-661902,-871984,
%U -1132400,-1451708,-1839386,-2305879,-2862646,-3522207,-4298190,-5205378,-6259756,-7478558
%N 6 + 33 n + 6 binomial(n, 2) - 28 binomial(n, 3) + 20 binomial(n, 4) - 47 binomial(n, 5).
%C Obtained by simply fitting a fifth degree polynomial to the terms 6,39,78,95,82,4 (see A058897).
%H Harry J. Smith, <a href="/A058985/b058985.txt">Table of n, a(n) for n = 0..200</a>
%F a(n) = 6 + 94/15*n + 183/4*n^2 - 187/8*n^3 + 19/4*n^4 - 47/120*n^5.
%F G.f.: (6+3*x-66*x^2+92*x^3-8*x^4-74*x^5)/(1-x)^6. [_Colin Barker_, Apr 23 2012]
%o (PARI) { for (n = 0, 200, a=6 + 33*n + 6*binomial(n,2) - 28*binomial(n,3) + 20*binomial(n,4) - 47*binomial(n,5); write("b058985.txt", n, " ", a); ) } \\ _Harry J. Smith_, Jun 24 2009
%Y Cf. A058897.
%K sign,easy
%O 0,1
%A _N. J. A. Sloane_, Jan 17 2001
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