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.

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

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 1, 2, 4, 8, 16, 16, 24, 36, 54, 81, 81, 108, 144, 192, 256, 256, 320, 400, 500, 625, 625, 750, 900, 1080, 1296, 1296, 1512, 1764, 2058, 2401, 2401, 2744, 3136, 3584, 4096, 4096, 4608, 5184, 5832
Offset: 0

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Formula

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]
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