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A110195 a(n) = 11^((n^2-n)/2). 1
1, 1, 11, 1331, 1771561, 25937424601, 4177248169415651, 7400249944258160101211, 144209936106499234037676064081, 30912680532870672635673352936887453361, 72890483685103052142902866787761839379440139451 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Sequence given by the Hankel transform (see A001906 for definition) of A082173 = {1, 1, 12, 155, 2124, 30482, 453432, 6936799, ...}; example : det([1, 1, 12, 155; 1, 12, 155, 2124; 12, 155, 2124, 30482; 155, 2124, 30482, 453432]) = 11^6 = 1771561.

LINKS

Table of n, a(n) for n=0..10.

FORMULA

a(n+1) is the determinant of n X n matrix M_(i, j) = binomial(11i, j).

MATHEMATICA

Table[11^((n^2-n)/2), {n, 0, 20}] (* Harvey P. Dale, Feb 02 2012 *)

Join[{1, 1}, Table[Det[Table[Binomial[11i, j], {i, n}, {j, n}]], {n, 10}]] (* Harvey P. Dale, Apr 01 2019 *)

CROSSREFS

Cf. : A006125, A047656, A053763, A053764, A109345, A109354, A109493, A109966, A110147.

Sequence in context: A209093 A078274 A013716 * A015484 A145185 A286650

Adjacent sequences:  A110192 A110193 A110194 * A110196 A110197 A110198

KEYWORD

nonn

AUTHOR

Philippe Deléham, Sep 07 2005

EXTENSIONS

a(11) from Harvey P. Dale, Feb 02 2012

STATUS

approved

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Last modified April 17 08:40 EDT 2021. Contains 343064 sequences. (Running on oeis4.)