cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A056864 Nearest integer to n^2/10.

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%I A056864 #17 Mar 14 2025 13:12:55
%S A056864 0,0,0,1,2,3,4,5,6,8,10,12,14,17,20,23,26,29,32,36,40,44,48,53,58,63,
%T A056864 68,73,78,84,90,96,102,109,116,123,130,137,144,152,160,168,176,185,
%U A056864 194,203,212,221,230,240,250,260,270,281,292,303,314,325
%N A056864 Nearest integer to n^2/10.
%H A056864 Ray Chandler, <a href="/A056864/b056864.txt">Table of n, a(n) for n = 0..1000</a>
%H A056864 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,0,0,0,0,0,0,0,1,-2,1).
%F A056864 G.f.: -x^3*(1+x^2)*(x^4-x^2+1) / ( (1+x) *(x^4-x^3+x^2-x+1) *(x^4+x^3+x^2+x+1) *(x-1)^3 ). - _R. J. Mathar_, Mar 08 2016
%p A056864 A056864 := proc(n)
%p A056864     floor(n^2/10+1/2) ;
%p A056864 end proc:
%p A056864 seq(A056864(n),n=0..100) ; # _R. J. Mathar_, Mar 08 2016
%t A056864 Table[Floor[n^2/10+1/2],{n,0,100}] (* _Harvey P. Dale_, Nov 01 2020 *)
%o A056864 (PARI) a(n) = round(n^2/10); \\ _Michel Marcus_, Mar 08 2016
%Y A056864 Cf. A056865.
%K A056864 nonn
%O A056864 0,5
%A A056864 _N. J. A. Sloane_, Sep 02 2000