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 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