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.

A008381 floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5).

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%I A008381 #7 Jul 08 2025 01:03:23
%S A008381 0,0,0,0,0,1,1,2,4,8,16,16,24,36,54,81,81,108,144,192,256,256,320,400,
%T A008381 500,625,625,750,900,1080,1296,1296,1512,1764,2058,2401,2401,2744,
%U A008381 3136,3584,4096,4096,4608,5184,5832
%N A008381 floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5).
%F A008381 a(n) = A002266(n)*A008496(n+1). a(n)= +a(n-1) +4*a(n-5) -4*a(n-6) -6*a(n-10) +6*a(n-11) +4*a(n-15) -4*a(n-16) -a(n-20) +a(n-21). G.f.: x^5*(x^10-2*x^9+4*x^8-4*x^7+8*x^6-8*x^5+8*x^4-4*x^3+4*x^2-2*x+1) * (1+x)^2 / ((x^4+x^3+x^2+x+1)^4 * (1-x)^5). [From _R. J. Mathar_, Apr 16 2010]
%K A008381 nonn
%O A008381 0,8
%A A008381 _N. J. A. Sloane_