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A120929
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Partial sums of n^(n^2), A002489.
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1
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OFFSET
| 0,2
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COMMENTS
| After 2, can this ever be prime? This is to A001923 Sum k^k, k=1..n, as k^k^k is to k^k.
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FORMULA
| a(n) = sum[i=0..n] i^i^i. a(n) = sum[i=0..n] i^(i^2). a(n) = sum[i=0..n] (i^i)^i. In this sequence, we formally define 0^0 = 1.
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EXAMPLE
| a(0) = 1 because A002489(0) is given formally as 0^0^0 = 1.
a(1) = 2 because 1 + 1^1^1 = 1 + 1 = 2.
a(2) = 18 because 2 + 2^2^2 = 2 + 16 = 18.
a(3) = 19701 because 18 + 3^3^3 = 18 + 19683 = 19701.
a(4) = 4294986997 = 19701 + 4^4^4 = 19701 + 4294967296.
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CROSSREFS
| Cf. A001923, A002489, A002488, A001329, A002488, A023813, A076113, A090588.
Sequence in context: A059783 A191554 A066361 * A007184 A067765 A086367
Adjacent sequences: A120926 A120927 A120928 * A120930 A120931 A120932
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KEYWORD
| easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 18 2006
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