A006136 - OEIS

A006136

T(n+3,3) from table A045912 of characteristic polynomial of negative Pascal matrix.
(Formerly M5206)

1, 29, 626, 13869, 347020, 9952274, 321541977, 11416400590, 435869304863, 17605464402686, 743624059688891, 32572923621373010, 1470621027107356485, 68120063089374617281, 3225635202844511176442, 155695310201341829770911

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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

Table of n, a(n) for n=0..15.

W. F. Lunnon, The Pascal matrix, Fib. Quart. vol. 15 (1977) pp. 201-204.

EXAMPLE

1 + 29*x + 626*x^2 + 13869*x^3 + 347020*x^4 + 9952274*x^5 + 321541977*x^6 + ...

PROG

(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 */

CROSSREFS

Cf. A045912, A006134, A006135.

Sequence in context: A032630 A361930 A014929 * A199038 A182329 A329016

Adjacent sequences: A006133 A006134 A006135 * A006137 A006138 A006139

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Edited by Michael Somos, Jul 19 2002

STATUS

approved