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Search: id:A123741
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| 1, 2, 24, 630, 52800, 11381760, 6738443712, 10487895163200, 43294107630090240, 469590163875486482400, 13388418681612808458240000, 1001088091286168023193223168000, 196239953628635168336022309340569600
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OFFSET
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1,2
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COMMENT
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The formula below is a generalization of n! = product((n+1)-j,j=1..n) with numbers k replaced by Fibonacci numbers F(k+1):=A000045(k+1), k>=1.
These numbers come up in Vandermonde determinants involving Fibonacci numbers [F(2),...,F(n+1)]. See A123742.
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FORMULA
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a(n)= product(F(n+2)-F(j+1),j=1..n), n>=1.
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EXAMPLE
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n=3: (5-1)*(5-2)*(5-3)=4*3*2=24; n=4: (8-1)*(8-2)*(8-3)*(8-5)=7*6*5*3=630.
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CROSSREFS
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Cf. A003266(n+1):= product(F(j+1), j=1..n), n>=1, the usual Fibonacci factorials.
Adjacent sequences: A123738 A123739 A123740 this_sequence A123742 A123743 A123744
Sequence in context: A089835 A009251 A009447 this_sequence A012216 A012118 A012375
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Oct 13 2006
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