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A056009
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(n^n + 1)/ (n^(2^a) + 1), where 2^a is the highest power of 2 dividing n.
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2
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1, 1, 7, 1, 521, 1261, 102943, 1, 38742049, 99009901, 23775972551, 429960961, 21633936185161, 56406126018061, 27368368148803711, 1, 45957792327018709121, 121065871000912423309, 98920982783015679456199
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