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%I #17 Mar 27 2024 11:21:17
%S 0,3,45,334,1594,5713,16807,42799,97612,204082,397697,731261,1280582,
%T 2151296,3486926,5478275,8374259,12494286,18242280,26122449,36756909,
%U 50905263,69486234,93601458,124561543,163914493,213476596,275365888
%N Nearest integer to n^7/49.
%H Harry J. Smith, <a href="/A061532/b061532.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,2,-7,21,-35,35,-21,7,-1).
%F G.f.: x^2*(3*x^10 + 24*x^9 + 82*x^8 + 96*x^7 + 99*x^6 + 112*x^5 + 99*x^4 + 96*x^3 + 82*x^2 + 24*x + 3)/((x-1)^8*(x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)). [_Colin Barker_, Sep 18 2012]
%o (PARI) { for (n=1, 1000, write("b061532.txt", n, " ", round(n^7/49))) } \\ _Harry J. Smith_, Jul 24 2009
%K nonn,easy
%O 1,2
%A _N. J. A. Sloane_, May 15 2001
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