

A118873


Determinant of nth continuous block of 4 consecutive squares of primes.


0



29, 136, 1704, 6288, 5160, 14928, 52080, 97968, 84000, 98112, 524400, 84048, 637488, 231288, 1558440, 343200, 844152, 2799840, 1152360, 1469160, 783240, 4153800, 4254000, 11947320, 498768, 264360, 559248, 32952432, 2061360, 37128408, 10466400, 18355512
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OFFSET

1,1


COMMENTS

Quadratic analog of A117301 Determinants of 2 X 2 matrices of continuous blocks of 4 consecutive primes. See also: A001248 Squares of primes. The terminology "continuous" is used to distinguish from "discrete" which would be block 1: 4, 9, 25, 49; block 2: 121, 169, 289, 361; and so forth. Through n = 10^6, the number of negative values a(n) in this sequence appears to be consistently larger than the number of positive values.


LINKS

Table of n, a(n) for n=1..32.


FORMULA

a(n) = prime(n)^2*prime(n+3)^2  prime(n+1)^2*prime(n+2)^2.


EXAMPLE

a(1) = 29
 4, 9
25, 49.


CROSSREFS

Cf. A000040, A001248, A117301.
Sequence in context: A142494 A260260 A067985 * A247874 A162834 A145980
Adjacent sequences: A118870 A118871 A118872 * A118874 A118875 A118876


KEYWORD

easy,sign


AUTHOR

Jonathan Vos Post, May 24 2006


STATUS

approved



