A119498 - OEIS

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.

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, 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, 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

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OFFSET

1,1

COMMENTS

The determinant of A can never be 0 since there is an even prime in the mix.

Conjecture: This sequence never cycles.

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, ...,.

LINKS

Table of n, a(n) for n=1..105.

MATHEMATICA

f[n_] := Sign@ Det@ Partition[ Array[Prime, n^2], n]; Array[f, 105] /. -1 -> 0

CROSSREFS