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A006135
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T(n+2,2) from table A045912 of characteristic polynomial of negative Pascal matrix.
(Formerly M4650)
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4
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1, 9, 72, 626, 6084, 64974, 744193, 8965323, 112088583, 1441465015, 18952951005, 253712542005, 3447133563343, 47425573790397, 659506609478472, 9256644358552742, 130981854694547790, 1866712391002772586
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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EXAMPLE
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1 + 9*x + 72*x^2 + 626*x^3 + 6084*x^4 + 64974*x^5 + 744193*x^6 + 8965323*x^7 + ...
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MAPLE
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f:= n -> coeff(LinearAlgebra:-CharacteristicPolynomial(Matrix(n+2, n+2, (i, j) -> -binomial(i+j-2, i-1)), lambda), lambda, 2):
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PROG
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(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 */
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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