A006135 - OEIS

A006135

T(n+2,2) from table A045912 of characteristic polynomial of negative Pascal matrix.
(Formerly M4650)

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

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OFFSET

0,2

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.

EXAMPLE

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

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

PROG

(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 */

CROSSREFS

Cf. A045912, A006134, A006136.

Sequence in context: A033135 A127053 A001809 * A180836 A218126 A133672

Adjacent sequences: A006132 A006133 A006134 * A006136 A006137 A006138

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Edited by Michael Somos, Jul 19 2002

STATUS

approved