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Search: id:A109966
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A109966 a(n) = 8^((n^2-n)/2). +0
3
1, 1, 8, 512, 262144, 1073741824, 35184372088832, 9223372036854775808, 19342813113834066795298816, 324518553658426726783156020576256, 43556142965880123323311959751266331066368 (list; graph; listen)
OFFSET

0,3

COMMENT

Sequence given by the Hankel transform (see A001906 for definition) of A082147 = {1, 1, 9, 89, 945, 10577, 123129, 1476841, ...}; example : det([1, 1, 9, 89; 1, 9, 89, 945; 9, 89, 945, 10577; 89, 945, 10577, 123129]) = 8^6 = 262144.

Hankel transform of A059435 = [1, 2, 12, 88, 720, 6304, ...] . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 03 2006

FORMULA

a(n+1) is the determinant of n X n matrix M_(i, j) = binomial(8i, j).

Hankel transform of A059435 = [1, 2, 12, 88, 720, 6304, ...] . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 03 2006

MAPLE

with(finance):seq(mul(futurevalue( 1, 1, n+k), k=0..n), n=-1..10); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 30 2008

CROSSREFS

Cf. A006125, A047656, A053763, A053764, A109345, A109354, A109493.

Sequence in context: A016935 A128794 A013713 this_sequence A139567 A035131 A067505

Adjacent sequences: A109963 A109964 A109965 this_sequence A109967 A109968 A109969

KEYWORD

nonn

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 01 2005

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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