A203428 - OEIS

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A203428

Reciprocal of Vandermonde determinant of (1/3,1/6,...,1/(3n)).

1, -6, -486, 839808, 42515280000, -80335512599040000, -6890065294166289123840000, 31601087581187838970614157148160000, 8925080517850366815864624583251321642024960000 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	COMMENTS	`Each term divides its successor, as in A203429.`
	LINKS	`Table of n, a(n) for n=1..9.`
	MATHEMATICA	`f[j_] := 1/(3 j); z = 16;` `v[n_] := Product[Product[f[k] - f[j], {j, 1, k - 1}], {k, 2, n}]` `1/Table[v[n], {n, 1, z}] (* A203428 )` `Table[v[n]/(3 v[n + 1]), {n, 1, z - 1}] ( A203429 *)`
	CROSSREFS	`Cf. A203429, A203424, A203421.` `Sequence in context: A248362 A006712 A248361 * A264741 A197205 A197803` `Adjacent sequences: A203425 A203426 A203427 * A203429 A203430 A203431`
	KEYWORD	`sign`
	AUTHOR	`Clark Kimberling, Jan 02 2012`
	STATUS	`approved`

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Last modified January 18 21:06 EST 2021. Contains 340262 sequences. (Running on oeis4.)