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A122000
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a(n) = ((2^n - 1)^(2^n - 1) + 1) / 2^n.
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3
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1, 7, 102943, 27368368148803711, 533411691585101123706582594658103586126397951, 3566766192921360077810945505268211287512797261288920841093043641769808083046939618603793791988232043305924036607
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OFFSET
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1,2
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COMMENTS
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A014566(n) = n^n + 1 is Sierpinski Number of the First Kind. A014566(2^n - 1) is divisible by 2^n. a(n) is a subset of A081216(n) = (n^n-(-1)^n)/(n+1).
2^p - 1 divides a(p-1) for prime p>2. Corresponding quotients are a(p-1) / (2^p - 1) = {1, 882850585445281, 28084773172609134470952326813135521948919663474715912134590894817085103016117634792155856629828598766188378241, ...}, where p = prime(n) for n>1. - Alexander Adamchuk, Jan 22 2007
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LINKS
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FORMULA
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MATHEMATICA
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Table[((2^n-1)^(2^n-1)+1)/2^n, {n, 1, 7}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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