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A006135 T(n+2,2) from table A045912 of characteristic polynomial of negative Pascal matrix.
(Formerly M4650)
4
1, 9, 72, 626, 6084, 64974, 744193, 8965323, 112088583, 1441465015, 18952951005, 253712542005, 3447133563343, 47425573790397, 659506609478472, 9256644358552742, 130981854694547790, 1866712391002772586 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 21 11:21 EST 2019. Contains 319354 sequences. (Running on oeis4.)