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Search: id:A100701
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| A100701 |
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(T(n-1) + T(n-2)) + T(n-1)*T(n-2) where T(0)=2,T(1)=3 and n>= 2. |
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+0
1
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| 2, 3, 11, 47, 575, 27647, 15925247, 440301256703, 7011906707722862591, 3087351335301583621409910816767, 21648219537098310851336266290644502090473753542655
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OFFSET
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0,1
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FORMULA
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a(n) = (a(n-1) + a(n-2)) + a(n-1)*a(n-2) with a(0)=2 and a(1)=3
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EXAMPLE
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a(2) = (2 + 3) + 2*3 = 11
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MATHEMATICA
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a=2; b=3; lst={a, b}; Do[c=a*b+a+b; AppendTo[lst, c]; a=b; b=c, {n, 2*3!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 05 2009]
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CROSSREFS
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Cf. A063896.
Sequence in context: A162101 A128455 A041345 this_sequence A011365 A072876 A020133
Adjacent sequences: A100698 A100699 A100700 this_sequence A100702 A100703 A100704
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KEYWORD
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nonn
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Dec 09 2004
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EXTENSIONS
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More terms and Mathematica program Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 05 2009
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