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A143764 a(n+1) = (a(n)+n)^2, a(1) = 1. 6
1, 4, 36, 1521, 2325625, 5408554896900, 29252466072845872288372836, 855706771342998810018458679815602502067088579902649, 732234078522259249473123638277942895348884466303559008943210424176413224873174808848983192723595659649 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

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)=A143763(n), f(n,+2)=a(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

s=1; lst={}; Do[AppendTo[lst, s*=s+=n], {n, 0, 9}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 20 2009]

CROSSREFS

Subsequence of A000290.

Sequence in context: A136469 A120605 A173212 * A152287 A086857 A174864

Adjacent sequences:  A143761 A143762 A143763 * A143765 A143766 A143767

KEYWORD

nonn

AUTHOR

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

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Last modified February 17 02:48 EST 2012. Contains 205978 sequences.