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A100398
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Array where n-th row (of A055573(n) terms) is the continued fraction terms for the n-th harmonic number, sum{ k=1 to n} 1/k.
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12
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1, 1, 2, 1, 1, 5, 2, 12, 2, 3, 1, 1, 8, 2, 2, 4, 2, 2, 1, 1, 2, 5, 5, 2, 1, 2, 1, 1, 5, 7, 2, 1, 4, 1, 5, 1, 1, 7, 1, 3, 2, 1, 13, 12, 1, 3, 1, 2, 3, 50, 3, 4, 6, 1, 5, 3, 9, 1, 2, 4, 1, 1, 1, 15, 4, 3, 5, 1, 1, 4, 2, 1, 3, 2, 1, 3, 1, 4, 1, 6, 3, 3, 1, 39, 3, 1, 13, 3, 13, 3, 3, 7, 43, 1, 1, 1, 17, 7, 3, 2
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OFFSET
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1,3
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COMMENTS
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LINKS
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EXAMPLE
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Since the 3rd harmonic number is 11/6 = 1 +1/(1 +1/5), the 3rd row is 1,1,5.
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MATHEMATICA
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Flatten[Table[ContinuedFraction[HarmonicNumber[n]], {n, 16}]] (* Ray Chandler, Sep 17 2005 *)
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PROG
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(PARI) c=0; h=0; for(n=1, 500, for(i=1, #t=contfrac(h+=1/n), write("b100398.txt", c++, " ", t[i]))) \\ M. F. Hasler, May 31 2008
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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