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A119839 Least increasing sequence of primes equal to determinants of sequence A119838 starting (1,1,1) of continuous blocks of 4 numbers. 1
0, 0, 0, 2, 5, 7, 13, 23, 149, 277, 331, 9433 (list; graph; refs; listen; history; text; internal format)
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 = a(n)*a(n-3) - a(n-1)*a(n-2) where a(n) = A119838(n)}. Prime p = determinant [a(n-3),a(n-2),a(n-1),a(n)] = a(n)*a(n-3) - a(n-1)*a(n-2) is a prime greater than any previous prime in this sequence, where a(n) = A119838(n).

EXAMPLE

a(6) = 13 because the 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 * A107057 A212319 A161379

Adjacent sequences: A119836 A119837 A119838 * A119840 A119841 A119842

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, May 25 2006

STATUS

approved

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Last modified November 26 21:15 EST 2022. Contains 358362 sequences. (Running on oeis4.)