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.

A071401 Rounded volume of a regular dodecahedron with edge length n.

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%I A071401 #10 Feb 16 2025 08:32:46
%S A071401 0,8,61,207,490,958,1655,2628,3924,5586,7663,10200,13242,16836,21028,
%T A071401 25863,31388,37649,44691,52561,61305,70968,81597,93237,105935,119736,
%U A071401 134687,150833,168221,186896,206904,228292,251105,275390,301191,328556
%N A071401 Rounded volume of a regular dodecahedron with edge length n.
%D A071401 S. Selby, editor, CRC Basic Mathematical Tables, CRC Press, 1970, pp. 10-11.
%H A071401 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Dodecahedron.html">Dodecahedron</a>
%F A071401 a(n) = round(n^3 * (15+7*sqrt(5))/4)
%e A071401 a(6)=1665 because round(6^3*(15+7*sqrt(5))/4)=round(216*7.6631...)=round(1655.23...)=1665.
%t A071401 Table[Floor[n^3 (15+7Sqrt[5])/4+1/2],{n,0,50}]  (* _Harvey P. Dale_, Apr 25 2011 *)
%o A071401 (PARI) for(n=0,100,print1(round(n^3*(15+7*sqrt(5))/4),","))
%Y A071401 Cf. A000578 (cube), A071399 (tetrahedron), A071400 (octahedron), A071402 (icosahedron), A071397 (total surface area of dodecahedron).
%K A071401 easy,nonn
%O A071401 0,2
%A A071401 _Rick L. Shepherd_, May 29 2002