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 A253634 Decimal expansion of Sum_{n>=1} 1/A033286(n)^2. 0
 2, 8, 4, 1, 7, 0, 7, 0, 5, 4, 7, 0, 8, 6, 8, 2, 5, 0, 1, 7, 7, 1, 4 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The convergence is very slow, need to use the first 100000000 primes to obtain the correct value of the coefficient of 10^(-23). The constant is in the interval [0.28417070547086825017714, 0.28417070547086825017743]; these safe limits are computed by accumulating in parallel the partial sum of the lower estimate 1/n^4 = Zeta(4). - R. J. Mathar, Feb 06 2015 The next digits after ...17714 appear to be 3618. - Jon E. Schoenfield, Jan 05 2019 LINKS EXAMPLE 0.284170705470... PROG (PFGW & SCRIPT) SCRIPT DIM i, 0 DIM j, 0 DIM n DIM m DIMS t OPENFILEOUT myf, a(n).txt OPENFILEIN maf, pre.txt LABEL loop1 SET i, i+1 IF i>10000000 THEN END GETNEXT n, maf SET j, j+10^10000/((i*n)^2) IF i%1000000==0 THEN SET m, j/10^9970 IF i%1000000==0 THEN WRITE myf, m GOTO loop1 CROSSREFS Cf. A033286 (n*prime(n)), A124012. Sequence in context: A264818 A264709 A200004 * A152626 A093823 A088154 Adjacent sequences:  A253631 A253632 A253633 * A253635 A253636 A253637 KEYWORD nonn,cons,more AUTHOR Pierre CAMI, Jan 07 2015 STATUS approved

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Last modified September 21 08:38 EDT 2020. Contains 337268 sequences. (Running on oeis4.)