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A227929
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Decimal expansion of 36/Pi^4.
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1
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3, 6, 9, 5, 7, 5, 3, 6, 1, 1, 6, 8, 6, 3, 6, 0, 6, 6, 8, 0, 9, 5, 0, 0, 1, 9, 7, 6, 1, 6, 2, 7, 2, 9, 8, 9, 1, 0, 5, 8, 0, 0, 8, 6, 6, 7, 3, 0, 9, 7, 7, 4, 5, 7, 8, 5, 4, 0, 4, 9, 2, 7, 6, 9, 9, 1, 0, 5, 1, 8, 5, 6, 3, 1, 9, 8, 6, 9, 1, 2, 8, 9, 6, 6, 6, 0, 5, 7, 4, 9, 4, 6, 3, 0, 4, 5, 7, 6, 6, 0, 2, 5, 7, 6, 6
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OFFSET
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0,1
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COMMENTS
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Ernesto Cesaro asserted that lim n -> infinity A002321(n)/n = 36/Pi^4 using a fallacious argument. In fact this limit equals zero.
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REFERENCES
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Ernesto Cesaro, Sur diverses questions d'arithmetique. Mem. Soc. Roy. Sci. Liege 10 (1883), 1-350. Reprinted in Opere Scelte I, Vol. 1, pp. 10-362.
Wladyslaw Narkiewicz, The development of prime number theory: from Euclid to Hardy and Littlewood, Springer-Verlag, New York, 2000, p. 31.
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LINKS
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FORMULA
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EXAMPLE
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36/Pi^4 = 0.369575361168636066809500197....
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MATHEMATICA
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RealDigits[N[36/Pi^4, 105]][[1]]
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PROG
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(Magma) pi:=Pi(RealField(107)); Reverse(Intseq(Floor(10^105*36/pi^4)))
(PARI) default(realprecision, 105); x=360/Pi^4; for(n=1, 105, d=floor(x); x=(x-d)*10; print1(d, ", "));
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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