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Search: id:A110387
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| A110387 |
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a(1) = 1, a(2) = a(1) + 1, a(3) = a(2)^2 + a(1) + 1; a(n+1) = a(n)^n + a(n-1)^(n-1) + ... + a(2)^2 + a(1) + 1. |
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+0
1
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| 1, 2, 6, 222, 2428912878, 84539502447168140812774402430429967456348471246
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The next term is too large to include.
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EXAMPLE
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a(3) = 2^2 + 1 + 1 = 6.
a(4)=6^3+2^2+1^1+1=222.
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MAPLE
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a[1]:=1: for n from 1 to 6 do a[n+1]:=1+sum(a[j]^j, j=1..n) od: seq(a[n], n=1..7); (Deutsch)
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MATHEMATICA
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lst={}; s=1; Do[s+=s^n; AppendTo[lst, s], {n, 3!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 10 2008]
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CROSSREFS
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Sequence in context: A156517 A091439 A013083 this_sequence A158682 A100359 A052342
Adjacent sequences: A110384 A110385 A110386 this_sequence A110388 A110389 A110390
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KEYWORD
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easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 26 2005
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EXTENSIONS
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Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu) and Erich Friedman (efriedma(AT)stetson.edu), Jul 31 2005
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