A006136 T(n+3,3) from table A045912 of characteristic polynomial of negative Pascal matrix.
1, 29, 626, 13869, 347020, 9952274, 321541977, 11416400590, 435869304863, 17605464402686, 743624059688891, 32572923621373010, 1470621027107356485, 68120063089374617281, 3225635202844511176442, 155695310201341829770911
Offset: 0
Keywords
Examples
1 + 29*x + 626*x^2 + 13869*x^3 + 347020*x^4 + 9952274*x^5 + 321541977*x^6 + ...
References
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Links
- W. F. Lunnon, The Pascal matrix, Fib. Quart. vol. 15 (1977) pp. 201-204.
Programs
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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 */
Extensions
Edited by Michael Somos, Jul 19 2002