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A070904
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a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals n^4.
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0
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1, 16, 20976, 50649, 51933, 86768, 99857, 442973, 547720, 1374279, 6529369, 15997726, 16615151, 18691278, 30371349, 43665242
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..16.
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EXAMPLE
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The continued fraction for S(5)=1+1/16+1/20976+1/50649+1/51933 is [1, 15, 1, 44, 7, 1, 1, 1, 1, 3, 2, 2, 3, 1, 6, 3, 1, 625, 2, 4] where the largest element is 625=5^4 and 51933 is the smallest integer > 50649 with this property.
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PROG
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(PARI) s=1; t=1; for(n=2, 17, s=s+1/t; while(abs(n^3-vecmax(contfrac(s+1/t)))>0, t++); print1(t, ", "))
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CROSSREFS
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Sequence in context: A017296 A217271 A168488 * A159427 A017416 A087518
Adjacent sequences: A070901 A070902 A070903 * A070905 A070906 A070907
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KEYWORD
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more,nonn
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AUTHOR
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Benoit Cloitre, May 19 2002
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EXTENSIONS
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6 more terms from Ryan Propper (rpropper(AT)stanford.edu), Aug 06 2005
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STATUS
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approved
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