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 A363376 Determinant of the n X n matrix formed by placing 1..n^2 in L-shaped gnomons in alternating directions. 2
 1, -5, 78, -1200, 19680, -351360, 6854400, -145797120, 3367526400, -84072038400, 2258332876800, -64990937088000, 1995834890649600, -65167516237824000, 2254974602969088000, -82443156980760576000, 3176032637949050880000, -128603097714237898752000, 5460911310769351557120000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The matrix is the upper-left n X n part of the square arrangement in A081344. Number i is in the matrix at row A220604(i) column A220603(i), for i = 1..n^2. Conjecture: a(n) has trailing zeros for n > 3. - Stefano Spezia, May 31 2023 LINKS Table of n, a(n) for n=1..19. Nicolay Avilov, Illustration of a(1)-a(5) FORMULA a(1) = 1, for a > 1: a(n) = (-1)^(n-1)*2^(n-3)*(2*n*(n-1)+1)*(n!). - Detlef Meya, Jun 11 2023 EXAMPLE | 1----2 9---10 25 | | | | | | | | 4----3 8 11 24 | | | | | | | a(5) = | 5----6----7 12 23 | = 19680. | | | | | 16---15---14---13 22 | | | | | | 17---18---19---20---21 | MATHEMATICA a={}; For[n=1, n<=19, n++, k=i=j=1; M[i, j]=k++; For[h=1, h

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)