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.

A119498 Consider the sign of A067276: determinant of n X n matrix containing the first n^2 primes in increasing order; then a(n) = 0 if negative and 1 if positive.

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%I A119498 #3 Mar 30 2012 17:31:18
%S A119498 1,0,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1,1,1,
%T A119498 0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,1,
%U A119498 1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1
%N A119498 Consider the sign of A067276: determinant of n X n matrix containing the first n^2 primes in increasing order; then a(n) = 0 if negative and 1 if positive.
%C A119498 The determinant of A can never be 0 since there is an even prime in the mix.
%C A119498 Conjecture: This sequence never cycles.
%C A119498 Positions where the race between the zeros and the ones is tied: 2,4,16,34,36,38,40,42,46,66,78,80,82,84, ...,.
%t A119498 f[n_] := Sign@ Det@ Partition[ Array[Prime, n^2], n]; Array[f, 105] /. -1 -> 0
%Y A119498 Cf. A000040, A067276.
%K A119498 nonn
%O A119498 1,1
%A A119498 _Robert G. Wilson v_, May 26 2006