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Search: id:A109493
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A109493 a(n) = 7^((n^2-n)/2). +0
4
1, 1, 7, 343, 117649, 282475249, 4747561509943, 558545864083284007, 459986536544739960976801, 2651730845859653471779023381601, 107006904423598033356356300384937784807 (list; graph; listen)
OFFSET

0,3

COMMENT

Sequence given by the Hankel transform (see A001906 for definition) of A081178 = {1, 1, 8, 71, 680, 6882, 72528, 788019, ...}; example : det([1, 1, 8, 71; 1, 8, 71, 680; 8, 71, 680, 6882; 71, 680, 6882, 72528]) = 7^6 = 117649.

FORMULA

a(n+1) is the determinant of n X n matrix M_(i, j) = binomial(7i, j).

MAPLE

a:=n->mul (7^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, A109354.

Sequence in context: A054325 A068150 A013712 this_sequence A015479 A142669 A067556

Adjacent sequences: A109490 A109491 A109492 this_sequence A109494 A109495 A109496

KEYWORD

nonn

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 29 2005

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Last modified September 6 09:40 EDT 2008. Contains 143480 sequences.


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