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A143763 a(n+1) = (a(n)-n)^2, a(1) = 1. 6
1, 0, 4, 1, 9, 16, 100, 8649, 74666881, 5575141774264384, 31082205803147712138788845611876, 966103517589229313003894215813508352493573272034098666228778225 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

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).

LINKS

Index entries for sequences of form a(n+1)=a(n)^2 + ... [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 11 2008]

MATHEMATICA

a=1; Table[a=(n-a)^2, {n, 0, 16}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 20 2009]

CROSSREFS

Cf. A000290.

Sequence in context: A193580 A075150 A001254 * A128626 A193963 A028941

Adjacent sequences:  A143760 A143761 A143762 * A143764 A143765 A143766

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 01 2008

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Last modified February 16 18:54 EST 2012. Contains 205939 sequences.