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Search: id:A055776
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| A055776 |
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a(n)=a(n-1)^3+a(n-1)^2+a(n-1)+1. |
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+0
1
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| 0, 1, 4, 85, 621436, 239988219843053389, 13821964488793901254190711941736196403535171578341580
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) is asymptotic to c^(3^n) - 1/3 where c=1.056431004248312118265251254776175173104598976924006344252579493163876246969557582... - Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Dec 08 2007
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EXAMPLE
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a(3)=4^3+4^2+4+1=64+16+4+1=85
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PROGRAM
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(PARI) a=vector(6); a[1]=1; print1("0, 1, "); for(n=2, 6, a[n]=a[n-1]^3+a[n-1]^2+a[n-1]+1; print1(a[n], ", ")) - Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Dec 08 2007
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CROSSREFS
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Cf. A002065.
Adjacent sequences: A055773 A055774 A055775 this_sequence A055777 A055778 A055779
Sequence in context: A015018 A059830 A116330 this_sequence A055591 A055764 A130268
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jul 12 2000
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EXTENSIONS
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Next term is too big to include.
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