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A127678 a(n) = numerator of b(n), where b(1) = 1, b(n+1) = (sum{k=1 to n} b(k))/product{j=1 to n} b(j). 1
1, 1, 2, 2, 3, 5, 7, 17, 39, 131, 241, 1843, 33951, 475103, 66624833, 17107028693, 33453912854619, 1200873381252944089, 200445185648334612665809, 14036199771684615424002710560757 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

FORMULA

For n >= 4, b(n) = 1 +(b(n-1)-1)/b(n-2).

MATHEMATICA

f[l_List] := Append[l, Plus @@ l/Times @@ l]; Numerator[Nest[f, {1}, 20]] (*Chandler*)

CROSSREFS

Cf. A127679.

Sequence in context: A062724 A126024 A179316 * A199962 A114990 A157176

Adjacent sequences:  A127675 A127676 A127677 * A127679 A127680 A127681

KEYWORD

easy,frac,nonn

AUTHOR

Leroy Quet Jan 23 2007

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Feb 13 2007

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.