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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; text; 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, Sep 11 2008] FORMULA a(n) ~ c^(2^n), where c = 1.0360416217849060104872070636721393146594472258894124389077919684140867897... . - Vaclav Kotesovec, Dec 18 2014 MATHEMATICA a=1; Table[a=(n-a)^2, {n, 0, 16}] (* Vladimir Joseph Stephan Orlovsky, Nov 20 2009 *) RecurrenceTable[{a[n+1] == (a[n]-n)^2, a[1] == 1}, a, {n, 1, 15}] (* Vaclav Kotesovec, Dec 18 2014 *) CROSSREFS Cf. A000290. Sequence in context: A244761 A075150 A001254 * A278350 A128626 A193963 Adjacent sequences:  A143760 A143761 A143762 * A143764 A143765 A143766 KEYWORD nonn AUTHOR Reinhard Zumkeller, Sep 01 2008 STATUS approved

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Last modified January 21 00:46 EST 2022. Contains 350473 sequences. (Running on oeis4.)