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Search: id:A014068
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| 1, 1, 3, 20, 210, 3003, 54264, 1184040, 30260340, 886163135, 29248649430, 1074082795968, 43430966148115, 1917283000904460, 91748617512913200, 4730523156632595024, 261429178502421685800, 15415916972482007401455
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OFFSET
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0,3
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COMMENT
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Product of next n numbers divided by product of first n numbers. E.g. a(4) = (7*8*9*10)/(1*2*3*4)= 210. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 22 2004
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FORMULA
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For n >=1, product k=1, ...n A014068(n) = A022915(n) - Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Apr 08 2001
For n > 0, a(n) = A022915(n)/A022915(n-1) - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Jul 26 2004
a(n) = binomial(T(n+1), T(n)) where T(n)= the n-th triangular number. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 14 2005
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CROSSREFS
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Cf. A022915.
Sequence in context: A052595 A052590 A081209 this_sequence A006963 A113333 A052851
Adjacent sequences: A014065 A014066 A014067 this_sequence A014069 A014070 A014071
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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