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 A045912 Triangle of coefficients of characteristic polynomial of negative Pascal matrix with (i,j)-th entry -C(i+j-2,i-1). 5
 1, 1, 1, 1, 3, 1, 1, 9, 9, 1, 1, 29, 72, 29, 1, 1, 99, 626, 626, 99, 1, 1, 351, 6084, 13869, 6084, 351, 1, 1, 1275, 64974, 347020, 347020, 64974, 1275, 1, 1, 4707, 744193, 9952274, 21537270, 9952274, 744193, 4707, 1, 1, 17577, 8965323 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 REFERENCES W. F. Lunnon, "The Pascal matrix", Fib. Quart. vol. 15 (1977) pp. 201-204. LINKS P. Di Francesco, P. Zinn-Justin and J.-B. Zuber, Determinant formulae for some tiling problems... EXAMPLE 1; 1,1; 1,3,1; 1,9,9,1; 1,29,72,29,1; ... PROG (PARI) T(n, k)=if(n<0, 0, (-1)^(n+k)*polcoeff(charpoly(matrix(n, n, i, j, binomial(i+j-2, i-1))), k)) (PARI) T(n, k)=if(n<0, 0, polcoeff(charpoly(-matrix(n, n, i, j, binomial(i+j-2, i-1))), k)) CROSSREFS Sum of k-th row is A006366(n). Columns give A006134, A006135, A006136. Sequence in context: A144493 A118180 A176482 * A158695 A106268 A060543 Adjacent sequences:  A045909 A045910 A045911 * A045913 A045914 A045915 KEYWORD nonn AUTHOR Fred Lunnon (fred(AT)csa5.cs.may.ie) STATUS approved

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