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Search: id:A143764
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| A143764 |
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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, 4, 36, 1521, 2325625, 5408554896900, 29252466072845872288372836, 855706771342998810018458679815602502067088579902649, 73223407852225924947312363827794289534888446630355900894321042417641322487317480\ 8848983192723595659649
(list; graph; listen)
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OFFSET
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1,2
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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)=A143763(n), f(n,+2)=a(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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s=1; lst={}; Do[AppendTo[lst, s*=s+=n], {n, 0, 9}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 20 2009]
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CROSSREFS
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Subsequence of A000290.
Sequence in context: A061742 A136469 A120605 this_sequence A152287 A086857 A001152
Adjacent sequences: A143761 A143762 A143763 this_sequence A143765 A143766 A143767
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 01 2008
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