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A203309 Vandermonde determinant of the first n triangular numbers. 4
1, 2, 30, 7560, 57153600, 20369543040000, 495474875767872000000, 1124860755259775229696000000000, 312577210159744965479388971827200000000000, 13502658421660070413446616883411391637094400000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Each term divides its successor, as in A203310.

LINKS

Table of n, a(n) for n=1..10.

MATHEMATICA

f[j_] := j (j + 1)/2; z = 15;

v[n_] := Product[Product[f[k] - f[j], {j, 1, k - 1}], {k, 2, n}]

Table[v[n], {n, 1, z}]   (* A203309 *)

Table[v[n + 1]/v[n], {n, 1, z - 1}]  (* A203310 *)

CROSSREFS

Cf. A203310.

Sequence in context: A000187 A053851 A077521 * A090600 A113511 A062008

Adjacent sequences:  A203306 A203307 A203308 * A203310 A203311 A203312

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 01 2012

STATUS

approved

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Last modified November 28 15:24 EST 2014. Contains 250363 sequences.