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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 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]] PROG (PARI) zeta(4) - sumeulerrat(1/p, 4) \\ Amiram Eldar, Mar 19 2021 CROSSREFS Cf. A018252, A013662, A085964. Sequence in context: A262225 A330092 A064812 * A216998 A346469 A068118 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 January 23 18:57 EST 2022. Contains 350514 sequences. (Running on oeis4.)