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A139244
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a(0) = 4; a(n) = a(n-1)^2 - 1.
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3
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4, 15, 224, 50175, 2517530624, 6337960442777829375, 40169742574216538983356186036612890624, 1613608218478824775913354216413699241125577233045500390244103887844987109375
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OFFSET
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0,1
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COMMENTS
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This is the next analog of A003096 with different initial value a(0), as starting with a(0) = 2 is A003096 and a(0) = 3 is A003096 with first term omitted. It alternates between even and odd values, specifically between 4 mod 10 and 5 mod 10 and is always composite (by difference of squares factorization).
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LINKS
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FORMULA
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a(n-1) = ceiling(c^(2^n)) where c is a constant between 1 and 2.
More specifically, c=1.9668917617901763653335057202... (sequence A260315). - Chayim Lowen, Jul 17 2015
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MAPLE
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A[0]:= 4:
for n from 1 to 10 do A[n]:= A[n-1]^2-1 od:
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MATHEMATICA
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PROG
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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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STATUS
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approved
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