

A138898


Ratio of (2n1)! to number of zeros in lower part of Sylvester matrix for polynomial of degree n with all nonzero coefficients.


2



60, 840, 30240, 1995840, 207567360, 31135104000, 6351561216000, 1689515283456000, 567677135241216000, 235018333989863424000, 117509166994931712000000, 69800445194989436928000000, 48581109855712648101888000000, 39156374543704394370121728000000, 36180490078382860397992476672000000, 37989514582302003417892100505600000000, 44979585265445572046784246998630400000000, 59642930061980828534035911520183910400000000
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OFFSET

3,1


LINKS

Table of n, a(n) for n=3..20.


FORMULA

a(n) = (2n1)!/((n1)(n2)), n>=3.  R. J. Mathar, Apr 30 2008


MATHEMATICA

Table[(2 n  1)!/((n  1)(n  2)), {n, 3, 20}]  R. J. Mathar, Apr 30 2008


CROSSREFS

Cf. A002378, A009445, A007878, A138896, A138898.
Sequence in context: A168307 A063011 A008357 * A229368 A056321 A056312
Adjacent sequences: A138895 A138896 A138897 * A138899 A138900 A138901


KEYWORD

nonn


AUTHOR

Artur Jasinski, Apr 02 2008


EXTENSIONS

Edited and corrected by R. J. Mathar, Apr 30 2008


STATUS

approved



