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 A084067 #11 Oct 31 2013 12:17:23 %S A084067 1,12,6,4,9,12,4,12,12,8,6,12,6,12,12,12,12,12,8,12,9,12,12,12,12,12, %T A084067 6,12,6,12,10,12,6,12,12,12,2,12,6,8,6,12,12,12,12,4,12,12,8,12,12,8, %U A084067 3,12,4,12,12,4,12,12,9,12,6,4,6,12,4,12,12,12,12,12,2,12,6,12,3,12,6,12,3,8 %N A084067 Integer coefficients of A(x), where 1<=a(n)<=12, such that A(x)^(1/12) consists entirely of integer coefficients. %C A084067 More generally, the sequence: "integer coefficients of A(x), where 1<=a(n)<=m, such that A(x)^(1/m) consists entirely of integer coefficients", appears to have a unique solution for all m>0. Are these sequences ever periodic? %H A084067 Robert G. Wilson v, <a href="/A084067/b084067.txt">Table of n, a(n) for n = 0..3000</a>. %t A084067 a[0] = 1; a[n_] := a[n] = Block[{k = 1, s = Sum[a[i]*x^i, {i, 0, n-1}]}, While[ Union[ IntegerQ /@ CoefficientList[ Series[(s+k*x^n)^(1/12), {x, 0, n}], x]] != {True}, k++ ]; k]; Table[ a[n], {n, 0, 81}] (* _Robert G. Wilson v_ *) %Y A084067 Cf. A083952, A083953, A083954, A083955, A083956, A083947 A083948, A083949, A083950, A084066. %K A084067 nonn %O A084067 0,2 %A A084067 _Paul D. Hanna_, May 10 2003 %E A084067 More terms from _Robert G. Wilson v_, Jul 26 2005