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A080034
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a(n) is taken to be the smallest positive integer not already present which is consistent with the condition "n is a member of the sequence if and only if a(n) is congruent to 3 mod 4".
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1
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1, 3, 4, 7, 11, 6, 15, 19, 9, 23, 12, 27, 31, 14, 35, 39, 17, 43, 20, 47, 51, 22, 55, 59, 25, 63, 28, 67, 71, 30, 75, 79, 33, 83, 36, 87, 91, 38, 95, 99, 41, 103, 44, 107, 111, 46, 115, 119, 49, 123, 52, 127, 131, 54, 135, 139, 57, 143, 60, 147, 151, 62, 155, 159, 65, 163
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 2*a(n-8) - a(n-16) for n > 15.
G.f.: (x^15 + 5*x^14 + 2*x^13 + 9*x^12 + 13*x^11 + 4*x^10 + 17*x^9 + 7*x^8 + 19*x^7 + 15*x^6 + 6*x^5 + 11*x^4 + 7*x^3 + 4*x^2 + 3*x + 1)/(x^16 - 2*x^8 + 1). (End)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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