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-3, -1, 11, 251, 65531, 4294967291, 18446744073709551611, 340282366920938463463374607431768211451, 115792089237316195423570985008687907853269984665640564039457584007913129639931
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history;
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OFFSET
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0,1
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COMMENTS
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For n >= 3, a(n) is not of the form 2^k + p, where p is a prime. Therefore every term greater than 11 is in A006285 (de Polignac numbers).
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LINKS
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Table of n, a(n) for n=0..8.
Wacław Sierpiński, Elementary Theory of Numbers, Monografie Matematyczne 42 (1964), p. 415.
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FORMULA
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a(n) = A000215(n) - 6.
a(0) = - 3; a(n) = (a(n-1) + 5)^2 - 5, n >= 1.
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MATHEMATICA
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Table[2^(2^n) - 5, {n, 0, 8}]
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PROG
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(MAGMA) [2^(2^n)-5 : n in [0..8]]
(PARI) for(n=0, 8, print1(2^(2^n)-5, ", "));
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CROSSREFS
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Cf. A006285.
Sequence in context: A002185 A002589 A048522 * A337205 A287197 A118020
Adjacent sequences: A232457 A232458 A232459 * A232461 A232462 A232463
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KEYWORD
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sign,easy
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AUTHOR
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Arkadiusz Wesolowski, Nov 24 2013
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STATUS
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approved
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