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%I M5206 #16 Sep 08 2017 05:16:46
%S 1,29,626,13869,347020,9952274,321541977,11416400590,435869304863,
%T 17605464402686,743624059688891,32572923621373010,1470621027107356485,
%U 68120063089374617281,3225635202844511176442,155695310201341829770911
%N T(n+3,3) from table A045912 of characteristic polynomial of negative Pascal matrix.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H W. F. Lunnon, <a href="http://www.fq.math.ca/Scanned/15-3/lunnon.pdf">The Pascal matrix</a>, Fib. Quart. vol. 15 (1977) pp. 201-204.
%e 1 + 29*x + 626*x^2 + 13869*x^3 + 347020*x^4 + 9952274*x^5 + 321541977*x^6 + ...
%o (PARI) {a(n) = if( n<0, 0, polcoeff( charpoly( matrix( n+3, n+3, i, j, -binomial( i+j-2, i-1))), 3))} /* _Michael Somos_, Jul 10 2002 */
%Y Cf. A045912, A006134, A006135.
%K nonn
%O 0,2
%A _N. J. A. Sloane_.
%E Edited by _Michael Somos_, Jul 19 2002