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.
%I A060494 #17 Dec 31 2024 22:33:03
%S A060494 0,0,0,1,4,9,20,37,64,102,156,228,324,446,600,791,1024,1305,1640,2036,
%T A060494 2500,3038,3660,4372,5184,6103,7140,8303,9604,11051,12656,14430,16384,
%U A060494 18530,20880,23447,26244,29283,32580,36147,40000,44152,48620,53418,58564,64072
%N A060494 a(n) = floor(n^4/64).
%H A060494 Harry J. Smith, <a href="/A060494/b060494.txt">Table of n, a(n) for n = 0..1000</a>
%H A060494 <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (4, -6, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -4, 6, -4, 1).
%F A060494 a(n) = floor(A000583(n)/64) = floor(A011863(n-1)/4). a(2n) = A059403(2n); a(2n-1) = A059403(2n-1) + A011861(n).
%F A060494 From _R. J. Mathar_, Mar 24 2011: (Start)
%F A060494 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + a(n-16) - 4*a(n-17) + 6*a(n-18) - 4*a(n-19) + a(n-20).
%F A060494 G.f.: -x^3 *(1 - x^2 + 4*x^3 - 4*x^4 - 3*x^6 + 4*x^7 - 3*x^8 + 4*x^9 - 4*x^10 + 4*x^11 - x^12 + x^14 + 4*x^5) / ( (1+x) *(x^2+1) *(x^4+1) *(x^8+1) *(x-1)^5 ). (End)
%e A060494 a(9) = floor(9^4/64) = floor(6561/64) = floor(102.51562...) = 102.
%t A060494 Floor[Range[0,50]^4/64] (* or *) LinearRecurrence[ {4,-6,4,-1,0,0,0,0,0,0,0,0,0,0,0,1,-4,6,-4,1},{0,0,0,1,4,9,20,37,64,102,156,228,324,446,600,791,1024,1305,1640,2036},50] (* _Harvey P. Dale_, May 30 2014 *)
%o A060494 (PARI) a(n) = { n^4\64 } \\ _Harry J. Smith_, Jul 06 2009
%K A060494 easy,nonn
%O A060494 0,5
%A A060494 _Henry Bottomley_, Mar 21 2001