cp's OEIS Frontend

A297123 a(n) = 462*n^6 + 330*n^4 - 165*n^3 + 55*n^2 - 11*n + 1.

%I A297123 #14 Dec 28 2017 07:12:44
%S A297123 1,672,33727,359536,1967109,7405696,21949027,55092192,122381161,
%T A297123 247574944,465140391,823079632,1386090157,2239057536,3490880779,
%U A297123 5278630336,7772038737,11178323872,15747344911,21777090864,29619501781,39686622592,52457089587
%N A297123 a(n) = 462*n^6 + 330*n^4 - 165*n^3 + 55*n^2 - 11*n + 1.
%H A297123 Seiichi Manyama, <a href="/A297123/b297123.txt">Table of n, a(n) for n = 0..10000</a>
%H A297123 Olivier Rozier, <a href="http://www.ipgp.fr/~rozier/math/raman.html">Ramanujan's tau function</a>
%H A297123 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A297123 From _Colin Barker_, Dec 26 2017: (Start)
%F A297123 G.f.: (1 + 665*x + 29044*x^2 + 137524*x^3 + 135139*x^4 + 29243*x^5 + 1024*x^6) / (1 - x)^7.
%F A297123 a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n>6.
%F A297123 (End)
%o A297123 (PARI) {a(n) = 462*n^6+330*n^4-165*n^3+55*n^2-11*n+1}
%o A297123 (PARI) Vec((1 + 665*x + 29044*x^2 + 137524*x^3 + 135139*x^4 + 29243*x^5 + 1024*x^6) / (1 - x)^7 + O(x^40)) \\ _Colin Barker_, Dec 26 2017
%Y A297123 Cf. A000594, A297127.
%K A297123 nonn,easy
%O A297123 0,2
%A A297123 _Seiichi Manyama_, Dec 26 2017