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A081750
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Simple continued fraction of 2*e.
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4
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5, 2, 3, 2, 3, 1, 2, 1, 3, 4, 3, 1, 4, 1, 3, 6, 3, 1, 6, 1, 3, 8, 3, 1, 8, 1, 3, 10, 3, 1, 10, 1, 3, 12, 3, 1, 12, 1, 3, 14, 3, 1, 14, 1, 3, 16, 3, 1, 16, 1, 3, 18, 3, 1, 18, 1, 3, 20, 3, 1, 20, 1, 3, 22, 3, 1, 22, 1, 3, 24, 3, 1, 24, 1, 3, 26, 3, 1, 26, 1, 3, 28, 3, 1, 28, 1, 3, 30, 3, 1, 30, 1, 3, 32
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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First 5 terms are 5, 2, 3, 2, 3.
For k >= 1, a(6k)=1; a(6k+1)=2k; a(6k+2)=1; a(6k+3)=3; a(6k+4)=2k+2; a(6k+5)=3.
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EXAMPLE
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2*e = 5 + 1 / (2 + 1 / (3 + 1 / (2 + 1 / (3 + 1 / (1 + ...))))). - Michael Somos, May 07 2012
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MATHEMATICA
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PROG
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(PARI) A081750(n) = if(1==n, 5, if(n<6, 2+(n%2), my(k=n\6, r=n%6); if(0==r || 2==r, 1, if(1==r, 2*k, if(n%2, 3, 2*(k+1)))))); \\ Antti Karttunen, Feb 20 2023
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CROSSREFS
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KEYWORD
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cofr,easy,nonn
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AUTHOR
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STATUS
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approved
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