login
Nearest integer to n^5/25.
1

%I #16 May 12 2024 02:56:37

%S 0,1,10,41,125,311,672,1311,2362,4000,6442,9953,14852,21513,30375,

%T 41943,56794,75583,99044,128000,163364,206145,257454,318505,390625,

%U 475255,573956,688415,820446,972000,1145166,1342177,1565416,1817417

%N Nearest integer to n^5/25.

%H Harry J. Smith, <a href="/A061003/b061003.txt">Table of n, a(n) for n = 1..1000</a>

%F G.f.: x*(x^7+5x^6+x^5+10x^4+x^3+5x^2+x)/((1-x^5)*(1-x)^5).

%p seq(round(n^5/25),n=1..35); # _Muniru A Asiru_, Jul 02 2018

%t Round[Range[40]^5/25] (* _Harvey P. Dale_, May 12 2024 *)

%o (PARI) { default(realprecision, 100); for (n=1, 1000, write("b061003.txt", n, " ", round(n^5/25)) ) } \\ _Harry J. Smith_, Jul 16 2009

%Y Cf. A011863, A061004.

%K nonn

%O 1,3

%A _N. J. A. Sloane_, May 15 2001