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A097909
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Decimal expansion of Sum_{i >= 1} t(i)/g(i), where t(i) = triangular number(i) and g(i) = (sum of first i primes)^4.
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0
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0, 6, 8, 0, 5, 5, 9, 4, 0, 8, 1, 5, 2, 5, 7, 5, 6, 9, 3, 2, 6, 3, 1, 3, 6, 5, 1, 5, 1, 0, 0, 4, 6, 1, 5, 0, 2, 8, 8, 4, 4, 5, 9, 8, 9
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..44.
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FORMULA
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Equals Sum_{n>=1} A000217(n)/A007504(n)^4. - R. J. Mathar, Dec 07 2014
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EXAMPLE
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0.0680559408152575...
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MATHEMATICA
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p = s = 0; Do[p += Prime[n]; k = n*(n+1)/2; s += k/p^4; Print[N[s, 50]], {n, 10^6}] (* Ryan Propper, Jul 22 2006 *)
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CROSSREFS
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Cf. A000217, A007504.
Sequence in context: A021151 A200116 A308314 * A143819 A021599 A072553
Adjacent sequences: A097906 A097907 A097908 * A097910 A097911 A097912
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KEYWORD
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cons,more,nonn
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AUTHOR
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Pierre CAMI, Sep 04 2004
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EXTENSIONS
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Corrected and extended by Ryan Propper, Jul 22 2006
Offset corrected by R. J. Mathar, Jan 31 2009
More terms from Jon E. Schoenfield, Nov 17 2018
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STATUS
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approved
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