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OFFSET
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0,1
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COMMENTS
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Partial sums of Dedekind numbers. Partial sums of number of monotone Boolean functions of n variables (increasing functions from P(S), the set of subsets of S, to {0,1}). Partial sums of number of antichains of subsets of an n-set. The subsequence of primes in this partial sum begins: 2, 5, 11, 31, 199 is prime (5 in a row, then no more known).
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LINKS
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Table of n, a(n) for n=0..8.
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FORMULA
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a(n) = SUM[i=0..n] A000372(i) = SUM[i=0..n] (A014466(i) + 1) = SUM[i=0..n] (A007153(i) + 2).
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EXAMPLE
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a(4) = 2 + 3 + 6 + 20 + 168 = 199 is prime.
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CROSSREFS
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Cf. A000372, A014466, A007153, A003182, A059119.
Sequence in context: A002862 A190865 A139464 * A101837 A124483 A079571
Adjacent sequences: A174534 A174535 A174536 * A174538 A174539 A174540
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KEYWORD
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nonn
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AUTHOR
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Jonathan Vos Post, Mar 21 2010
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STATUS
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approved
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