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A109354 a(n) = 6^((n^2-n)/2). +0
5
1, 1, 6, 216, 46656, 60466176, 470184984576, 21936950640377856, 6140942214464815497216, 10314424798490535546171949056, 103945637534048876111514866313854976 (list; graph; listen)
OFFSET

0,3

COMMENT

Sequence given by the Hankel transform (see A001906 for definition) of A078018 = {1, 1, 7, 55, 469, 4237, 39907, 387739, ...}; example : det([1, 1, 7, 55; 1, 7, 55, 469; 7, 55, 469, 4237; 55, 469, 4237, 39907]) = 6^6 = 46656.

FORMULA

a(n+1) is the determinant of n X n matrix M_(i, j) = binomial(6i, j).

MAPLE

a:=n->mul (6^j, j=1..n): seq(a(n), n=-1..9); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 03 2007

CROSSREFS

Cf. A006125, A047656, A053763, A053764, A109345.

Adjacent sequences: A109351 A109352 A109353 this_sequence A109355 A109356 A109357

Sequence in context: A030265 A007221 A013711 this_sequence A041623 A015477 A144045

KEYWORD

nonn

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 25 2005

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Last modified October 12 12:19 EDT 2008. Contains 144830 sequences.


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