Search: id:A118799
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%I A118799
%S A118799 880,448,1472,240,2480,1352,4128,96,2736,2520,120,1080,4288,4880,4600,
%T A118799 13368,7056,14560,2960,13320,0,24864,11096,24264,0,9168,2128,15792,0,
%U A118799 18120,5248,6384,21840,38776,20480,20176,72896,69200,40080,37632
%V A118799 880,-448,-1472,-240,2480,-1352,-4128,-96,2736,-2520,120,1080,4288,4880,
               4600,13368,
%W A118799 7056,14560,2960,13320,0,24864,-11096,-24264,0,-9168,-2128,-15792,0,18120,
               -5248,6384,
%X A118799 -21840,-38776,-20480,20176,-72896,-69200,40080,-37632
%N A118799 Determinants of 4 X 4 matrices of continuous blocks of 16 consecutive 
               primes.
%C A118799 4 X 4 analogue of A117330 Determinants of 3 X 3 matrices of continuous 
               blocks of 9 consecutive primes. The terminology "continuous" is used 
               to distinguish from "discrete" which would be (in this 4 X 4 prime 
               case) block 1: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 
               47, 53; block 2: 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 
               109, 113, 127, 131; and so forth.
%e A118799 a(1) = 880 because the determinant of the first continuous block of 16 
               primes is:
%e A118799 | 2. 3. 5. 7.|
%e A118799 |11. 13. 17. 19.|
%e A118799 |23. 29. 31. 37.|
%e A118799 |41. 43. 47. 53.|.
%e A118799 a(10) = -2520 because the determinant of the 10th continuous block of 
               16 primes is:
%e A118799 |29. 31. 37. 41.|
%e A118799 |43. 47. 53. 59.|
%e A118799 |61. 67. 71. 73.|
%e A118799 |79. 83. 89. 97.|.
%e A118799 a(21) = 0 because of the singular matrix:
%e A118799 | 73. 79. 83. 89.|
%e A118799 | 97. 101. 103. 107.|
%e A118799 |109. 113. 127. 131.|
%e A118799 |137. 139. 149. 151.|.
%e A118799 a(25) = 0 because of the singular matrix:
%e A118799 | 97. 101. 103. 107.|
%e A118799 |109. 113. 127. 131.|
%e A118799 |137. 139. 149. 151.|
%e A118799 |157. 163. 167. 173.|
%Y A118799 Cf. A000040, A067276, A117301, A118713.
%Y A118799 Sequence in context: A093943 A129313 A063051 this_sequence A024393 A006052 
               A105976
%Y A118799 Adjacent sequences: A118796 A118797 A118798 this_sequence A118800 A118801 
               A118802
%K A118799 easy,sign
%O A118799 1,1
%A A118799 Jonathan Vos Post (jvospost3(AT)gmail.com), May 23 2006

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