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Search: id:A123136
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| A123136 |
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a(n+1) = ( a(n) + n*(n+1) ) / n, with a(1) = 208. |
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+0
1
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OFFSET
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1,1
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COMMENT
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From a Quiz. Next term is 8.5
Only the first 6 terms are integers. [From Paolo P. Lava (ppl(AT)spl.at), Oct 01 2008]
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LINKS
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A. Frank & P. Jacqueroux, International Contest, 2001. Item 27
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FORMULA
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a(n)=(1/n!)*[208+Sum{k=1..n}{(k+1)!}], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Oct 01 2008]
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EXAMPLE
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a(1)=208; a(2)=(208+2)/1=210; a(3)=(210+6)/2=108; a(4)=(108+12)/3=40; a(5)=(40+20)/4=15; a(6)=(15+30)/5=9; a(7)=(9+42)/6=8.5
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PROGRAM
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(PARI) a=208; for(n=1, 7, print1(a, ", "); a=(a+n*(n+1))/n)
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CROSSREFS
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Sequence in context: A052093 A103477 A080531 this_sequence A092153 A131686 A003740
Adjacent sequences: A123133 A123134 A123135 this_sequence A123137 A123138 A123139
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KEYWORD
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nonn
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AUTHOR
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Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 30 2006
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