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A282469 Decimal expansion of sum of reciprocals of fourth powers of the nonprime numbers. 0
1, 0, 0, 5, 3, 3, 0, 0, 9, 3, 9, 4, 6, 8, 9, 1, 3, 4, 6, 5, 7, 3, 3, 8, 4, 4, 0, 0, 6, 0, 8, 0, 1, 0, 0, 3, 2, 6, 1, 2, 7, 0, 9, 8, 9, 2, 2, 0, 3, 8, 8, 3, 7, 1, 7, 4, 1, 8, 0, 3, 8, 2, 0, 6, 5, 8, 4, 9, 0, 4, 0, 4, 5, 6, 9, 9, 4, 0, 4, 6, 4, 0, 0, 4, 6, 5, 7, 6, 5, 2, 9, 1, 5, 6, 3, 0, 3, 6, 2, 7, 6, 9, 0, 9, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..105.

FORMULA

Sum_{n>=1} 1/A018252(n)^4.

Sum_{n>=1} 1/n^4 - Sum_{n>=1} 1/A000040(n)^4.

Equals zeta(4) - primezeta(4) = A013662 - A085964.

EXAMPLE

Equals 1/1^4 + 1/4^4 + 1/6^4 + 1/8^4 + 1/9^4... =

1.0053300939468913465733844006080...

MATHEMATICA

RealDigits[Zeta[4] - PrimeZetaP[4], 10, 105][[1]]

CROSSREFS

Cf. A018252, A013662, A085964.

Sequence in context: A193799 A262225 A064812 * A216998 A068118 A076104

Adjacent sequences:  A282466 A282467 A282468 * A282470 A282471 A282472

KEYWORD

nonn,cons

AUTHOR

Terry D. Grant, Apr 14 2017

STATUS

approved

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Last modified October 20 18:08 EDT 2018. Contains 316401 sequences. (Running on oeis4.)