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Search: id:A143763
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| A143763 |
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a(n+1) = (a(n)-n)^2, a(1) = 1. |
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+0
7
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| 1, 0, 4, 1, 9, 16, 100, 8649, 74666881, 5575141774264384, 31082205803147712138788845611876, 966103517589229313003894215813508352493573272034098666228778225
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Let f(n+1,k) = f(n,k)^2 + k*n*f(n,k) + n^2, f(1, k) = 1:
f(n,0)=A143760(n), f(n,-1)=A143761(n), f(n,+1)=A143762(n),
f(n,-2)=a(n), f(n,+2)=A143764(n), f(n,-3)=A143765(n), f(n,+3)=A143766(n).
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LINKS
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Index entries for sequences of form a(n+1)=a(n)^2 + ... [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 11 2008]
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MATHEMATICA
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a=1; Table[a=(n-a)^2, {n, 0, 16}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 20 2009]
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CROSSREFS
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Cf. A000290.
Sequence in context: A069606 A001254 A075150 this_sequence A128626 A028941 A065045
Adjacent sequences: A143760 A143761 A143762 this_sequence A143764 A143765 A143766
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KEYWORD
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nonn,new
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 01 2008
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