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#48 by Hugo Pfoertner at Tue Apr 16 03:06:32 EDT 2024
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#47 by Joerg Arndt at Tue Apr 16 02:40:38 EDT 2024
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#46 by Amiram Eldar at Tue Apr 16 01:50:55 EDT 2024
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#45 by Amiram Eldar at Tue Apr 16 01:42:11 EDT 2024
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#44 by Amiram Eldar at Tue Apr 16 01:41:51 EDT 2024
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| COMMENTS
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The asymptotic density of this sequence is 4 * Product_{p prime} (1 - 3/p^2) = 4 * A206256 = 0.501947... . - Amiram Eldar, Apr 16 2024
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| PROG
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(PARI) is(m) = issquarefree(4*m+1) && issquarefree(4*m+2) && issquarefree(4*m+3); \\ Amiram Eldar, Apr 16 2024
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| STATUS
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approved
editing
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#43 by OEIS Server at Mon Apr 15 18:10:45 EDT 2024
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| LINKS
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Michael De Vlieger, <a href="/A370600/b370600_1.txt">Table of n, a(n) for n = 1..10000</a>
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#42 by Hugo Pfoertner at Mon Apr 15 18:10:45 EDT 2024
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Discussion
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| Mon Apr 15
| 18:10
| OEIS Server: Installed first b-file as b370600.txt.
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#41 by Michael De Vlieger at Mon Apr 15 14:58:04 EDT 2024
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Discussion
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| Mon Apr 15
| 15:42
| Hugo Pfoertner: It is well known that such questions only come from my automatic routine checking of new sequences with my extended search program. There are almost no mathematical considerations involved. But I pass on the information to the authors, as an editorial service, so to speak. If the relationship found is correct, then it can be used as a formula without my name.
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| 15:43
| Michael De Vlieger: Hugo, that is pretty handy! Thank you.
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#40 by Michael De Vlieger at Mon Apr 15 14:57:02 EDT 2024
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| FORMULA
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a(n) = (A007675(n)-1)/4.
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| STATUS
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proposed
editing
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Discussion
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| Mon Apr 15
| 14:58
| Michael De Vlieger: Should attribute to Hugo if acceptable. Left off n > 1, since A7675(1) = 1, 1-1 = 0, and clearly {1, 2, 3} are squarefree.
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#39 by Michael De Vlieger at Mon Apr 15 12:17:32 EDT 2024
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Discussion
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| Mon Apr 15
| 13:26
| Michel Marcus: add A007675 formula ??
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