A006135 T(n+2,2) from table A045912 of characteristic polynomial of negative Pascal matrix.

1, 9, 72, 626, 6084, 64974, 744193, 8965323, 112088583, 1441465015, 18952951005, 253712542005, 3447133563343, 47425573790397, 659506609478472, 9256644358552742, 130981854694547790, 1866712391002772586

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Examples

			1 + 9*x + 72*x^2 + 626*x^3 + 6084*x^4 + 64974*x^5 + 744193*x^6 + 8965323*x^7 + ...
		

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Robert Israel, Table of n, a(n) for n = 0..200
• W. F. Lunnon, The Pascal matrix, Fib. Quart. vol. 15 (1977) pp. 201-204.

Crossrefs

Cf. A045912, A006134, A006136.

Programs

Maple

f:= n -> coeff(LinearAlgebra:-CharacteristicPolynomial(Matrix(n+2,n+2,(i,j) -> -binomial(i+j-2,i-1)),lambda),lambda,2):
map(f, [$0..20]); # Robert Israel, Jul 09 2018

PARI

{a(n) = if( n<0, 0, polcoeff( charpoly( matrix( n+2, n+2, i, j, -binomial( i+j-2, i-1))), 2))} /* Michael Somos, Jul 10 2002 */

Extensions

Edited by Michael Somos, Jul 19 2002