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.

A229063 Volume of the Johnson square pyramid (rounded down) with all the edge lengths equal to n.

This page as a plain text file.
%I A229063 #27 Sep 22 2013 16:18:48
%S A229063 0,1,6,15,29,50,80,120,171,235,313,407,517,646,795,965,1158,1374,1616,
%T A229063 1885,2182,2509,2867,3258,3682,4142,4639,5174,5748,6363,7021,7723,
%U A229063 8470,9264,10105,10996,11939,12933,13981,15084,16244,17462,18739,20078,21478,22942
%N A229063 Volume of the Johnson square pyramid (rounded down) with all the edge lengths equal to n.
%C A229063 Johnson square pyramid: Square base with four equilateral triangular-faces. All the edge lengths are equal to n.
%H A229063 K. D. Bajpai, <a href="/A229063/b229063.txt">Table of n, a(n) for n = 1..1000</a>
%H A229063 Wikipedia, <a href="http://en.wikipedia.org/wiki/Square_pyramid">Square pyramid</a>
%F A229063 a(n) = floor(n^3*sqrt(2)/6)
%e A229063 a(9)=171:  Volume= sqrt(2)/6*n^3= sqrt(2)/6*9^3= 171.8269478 and floor(171.8269478)= 171.
%p A229063 A229063 := proc(n)
%p A229063     floor(n^3*sqrt(2)/6) ;
%p A229063 end proc:
%t A229063 Table[Floor[k^3*Sqrt[2]/6],{k,1,100}]
%Y A229063 Cf. A228189.
%K A229063 nonn
%O A229063 1,3
%A A229063 _K. D. Bajpai_, Sep 17 2013