Search: id:A078475
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%I A078475
%S A078475 1,2,15,594,5187,23244,122475,279292,1157143,1850930,6642839,8529278,
%T A078475 27810555,30741424,93575187,92784984,268191855,244875462,679807583,
%U A078475 581798410
%V A078475 1,-2,15,-594,-5187,23244,122475,-279292,-1157143,1850930,6642839,-8529278,
               -27810555,
%W A078475 30741424,93575187,-92784984,-268191855,244875462,679807583,-581798410
%N A078475 Determinant of rank n matrix of 1..n^2 filled successively back and forth 
               along antidiagonals.
%C A078475 The matrix is formed by writing numbers 1 .. n^2 in zig-zag pattern as 
               shown in examples below. Every other antidiagonal reads backwards 
               from A069480.
%C A078475 Whereas each antidiagonal of A069480 begins with one more than a triangular 
               number and ends with the next triangular number, here every other 
               antidiagonal begins with one more than a triangular number and the 
               next antidiagonal begins with a triangular number.
%e A078475 n=2, det=-2: {1 2 / 3 4 }
%e A078475 n=3, det=15: {1 2 6 / 3 5 7 / 4 8 9 }
%e A078475 n=4, det=-594: { 1 2 6 7 / 3 5 8 13 / 4 9 12 14 / 10 11 15 16 }
%e A078475 n=5, det=-5187: { 1 2 6 7 15 / 3 5 8 14 16 / 4 9 13 17 22 / 10 12 18 
               21 23 / 11 19 20 24 25 }
%Y A078475 Cf. A079340, A069480, A023999.
%Y A078475 Sequence in context: A013098 A158109 A136463 this_sequence A015185 A071627 
               A013064
%Y A078475 Adjacent sequences: A078472 A078473 A078474 this_sequence A078476 A078477 
               A078478
%K A078475 sign
%O A078475 1,2
%A A078475 Kit Vongmahadlek (kit119(AT)yahoo.com), Jan 03 2003
%E A078475 Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), May 08 
               2003

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