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.

A083950 Integer coefficients of A(x), where 1<=a(n)<=10, such that A(x)^(1/10) consists entirely of integer coefficients.

This page as a plain text file.
%I A083950 #11 Oct 31 2013 12:17:23
%S A083950 1,10,5,10,10,2,5,10,10,10,3,10,5,10,10,2,10,10,10,10,5,10,5,10,5,8,5,
%T A083950 10,5,10,8,10,10,10,10,4,5,10,10,10,7,10,10,10,5,2,10,10,5,10,7,10,5,
%U A083950 10,5,4,10,10,10,10,7,10,10,10,10,2,5,10,5,10,9,10,5,10,5,6,5,10,10,10,8
%N A083950 Integer coefficients of A(x), where 1<=a(n)<=10, such that A(x)^(1/10) consists entirely of integer coefficients.
%C A083950 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. Are these sequences periodic?
%H A083950 Robert G. Wilson v, <a href="/A083950/b083950.txt">Table of n, a(n) for n = 0..3000</a>.
%t A083950 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)^(1/10), {x, 0, n}], x]] != {True}, k++ ]; k]; Table[ a[n], {n, 0, 80}] (* _Robert G. Wilson v_ *)
%Y A083950 Cf. A083952, A083953, A083954, A083952, A083956, A083947, A083948, A083949.
%K A083950 nonn
%O A083950 0,2
%A A083950 _Paul D. Hanna_, May 09 2003
%E A083950 More terms from _Robert G. Wilson v_, Jul 26 2005