A119839 Least increasing sequence of primes equal to determinants of sequence A119838 starting (1,1,1) of continuous blocks of 4 numbers.

0, 0, 0, 2, 5, 7, 13, 23, 149, 277, 331, 9433

Offset

0,4

Comments

The associated sequence of elements of the determinants is A119838 = 1, 1, 1, 3, 8, 31, 87, 340, 959, 3751, 10581, 41396.

Links

Table of n, a(n) for n=0..11.

Formula

a(0) = a(1) = a(2) = 0 (or any arbitrary nonprime < 2); for n>2: a(n) = min{prime p = b(n)*b(n-3) - b(n-1)*b(n-2) where b(n) = A119838(n)}.

Prime p = determinant [b(n-3),b(n-2),b(n-1),b(n)] = b(n)*b(n-3) - b(n-1)*b(n-2) is a prime greater than any previous prime in this sequence, where b(n) = A119838(n).

Example

a(6) = 13 because of the prime determinant formed from a(3,4,5,6) = (3,8,31,87).
Namely 13 = | 3  8|
            |31 87|.

Crossrefs

Cf. A000040, A119838.

Sequence in context: A095281 A106889 A155028 * A360105 A107057 A212319

Adjacent sequences: A119836 A119837 A119838 * A119840 A119841 A119842

Keyword

nonn,more,uned

Author

Jonathan Vos Post, May 25 2006

Status

approved