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.

A384143 Decimal expansion of the volume of an elongated triangular cupola with unit edge.

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%I A384143 #9 May 23 2025 10:14:16
%S A384143 3,7,7,6,5,8,7,5,1,3,3,3,0,8,9,5,1,4,7,6,2,5,9,1,0,1,1,5,7,6,6,8,9,0,
%T A384143 2,8,2,5,5,5,6,0,1,1,1,0,1,9,6,3,6,1,0,0,3,0,6,4,2,7,6,9,1,7,5,0,3,5,
%U A384143 0,9,9,2,4,0,8,1,6,2,2,5,8,7,9,9,7,0,4,2,2,2
%N A384143 Decimal expansion of the volume of an elongated triangular cupola with unit edge.
%C A384143 The elongated triangular cupola is Johnson solid J_18.
%H A384143 Paolo Xausa, <a href="/A384143/b384143.txt">Table of n, a(n) for n = 1..10000</a>
%H A384143 Wikipedia, <a href="https://en.wikipedia.org/wiki/Elongated_triangular_cupola">Elongated triangular cupola</a>.
%F A384143 Equals (5*sqrt(2) + 9*sqrt(3))/6 = (5*A002193 + 9*A002194)/6.
%F A384143 Equals the largest root of 1296*x^4 - 21096*x^2 + 37249.
%e A384143 3.776587513330895147625910115766890282555601110196...
%t A384143 First[RealDigits[(5*Sqrt[2] + 9*Sqrt[3])/6, 10, 100]] (* or *)
%t A384143 First[RealDigits[PolyhedronData["J18", "Volume"], 10, 100]]
%Y A384143 Cf. A384141 (surface area - 4).
%Y A384143 Cf. A002193, A002194, A344078, A383852, A384139.
%K A384143 nonn,cons,easy
%O A384143 1,1
%A A384143 _Paolo Xausa_, May 22 2025