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Search: id:A109345
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| 1, 1, 5, 125, 15625, 9765625, 30517578125, 476837158203125, 37252902984619140625, 14551915228366851806640625, 28421709430404007434844970703125
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OFFSET
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0,3
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COMMENT
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Sequence given by the Hankel transform (see A001906 for definition) of A078009 = {1, 1, 6, 41, 306, 2426, 20076, 171481, ...}; example : det([1, 1, 6, 41; 1, 6, 41, 306; 6, 41, 306, 2426; 41, 306, 2426, 20076]) = 5^6 = 15625.
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FORMULA
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a(n+1) is the determinant of n X n matrix M_(i, j) = binomial(5i, j).
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MAPLE
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seq(5^(binomial(2+n, n)), n=-2..8); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 12 2007
a:=n->mul (5^j, j=1..n): seq(a(n), n=-1..9); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 03 2007
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CROSSREFS
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Cf. A006125, A047656, A053763, A053764.
Sequence in context: A067081 A154022 A013710 this_sequence A156956 A015476 A059486
Adjacent sequences: A109342 A109343 A109344 this_sequence A109346 A109347 A109348
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 21 2005
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