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#35 by Michael De Vlieger at Tue Jul 25 22:43:44 EDT 2023
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#34 by Jon E. Schoenfield at Tue Jul 25 22:30:09 EDT 2023
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#33 by Jon E. Schoenfield at Tue Jul 25 22:30:07 EDT 2023
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| FORMULA
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Sum_{k=1..n} a(k) ~ n*(12*log(n)^2 + (24*gamma + 36*log(2) - 24)*log(n) + 24 - 24*gamma - 36*log(2) + 36*gamma*log(2) + 2*log(2)^2 - 18*log(5) + 18*gamma*log(5) + 27*log(2)*log(5) + 2*log(5)^2 + 18*log(5)*log(n) - 24*gamma_1)/(60*log(2)*log(5)), where gamma is the Euler's constant (A001620) and gamma_1 is the first Stieltjes constant (A082633). - Amiram Eldar, Jan 26 2023
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| STATUS
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approved
editing
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#32 by Vaclav Kotesovec at Thu Jan 26 03:44:28 EST 2023
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#31 by Michel Marcus at Thu Jan 26 01:16:36 EST 2023
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Discussion
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| Thu Jan 26
| 03:44
| Vaclav Kotesovec: Confirmed.
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#30 by Amiram Eldar at Thu Jan 26 01:04:37 EST 2023
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#29 by Amiram Eldar at Thu Jan 26 01:03:42 EST 2023
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| KEYWORD
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nonn,easy,mult,changed
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#28 by Amiram Eldar at Thu Jan 26 00:49:24 EST 2023
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| FORMULA
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Sum_{k=1..n} a(k) ~ n*(12*log(n)^2 + (24*gamma + 36*log(2) - 24)*log(n) + 24 - 24*gamma - 36*log(2) + 36*gamma*log(2) + 2*log(2)^2 - 18*log(5) + 18*gamma*log(5) + 27*log(2)*log(5) + 2*log(5)^2 + 18*log(5)*log(n) - 24*gamma_1)/(60*log(2)*log(5)), gamma is the Euler's constant (A001620) and gamma_1 is the first Stieltjes constant (A082633). - Amiram Eldar, Jan 26 2023
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| CROSSREFS
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Cf. A001620, A082633.
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| STATUS
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approved
editing
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#27 by Joerg Arndt at Sun Jun 12 02:57:46 EDT 2022
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#26 by Michel Marcus at Sun Jun 12 02:28:33 EDT 2022
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