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#13 by Alois P. Heinz at Thu Aug 26 15:30:36 EDT 2021
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#12 by Michel Marcus at Thu Aug 26 00:49:24 EDT 2021
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#11 by Michel Marcus at Thu Aug 26 00:49:20 EDT 2021
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| DATA
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924, 2970, 16368, 18018, 268224, 1107161088, 283465678848, 4535476813824, 76092819268618420224, 87729047721804447573604856326476791808
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| EXTENSIONS
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a(9)-a(10) from Michel Marcus, Aug 26 2021
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| STATUS
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proposed
editing
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#10 by Jon E. Schoenfield at Wed Aug 25 23:55:33 EDT 2021
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#9 by Jon E. Schoenfield at Wed Aug 25 23:55:30 EDT 2021
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| COMMENTS
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Conjecture: a(n) = 33*A341623(n) for n >= 1. Motivation: If no term of A341623 is divisible by 11 (which appears to be the case), then sigma[(33*A341623(n)]/[))/(33*A341623(n)] = )) = sigma(11)*sigma[(3*A341623(n)]/[))/(33*A341623(n)] = )) = 12*[*(8*A341623(n)]/[))/(33*A341623(n)] = )) = 32/11. Does this sequence, though, contain any additional terms that are not generated by A341623?
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| STATUS
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proposed
editing
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#8 by Timothy L. Tiffin at Wed Aug 25 23:14:15 EDT 2021
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#7 by Timothy L. Tiffin at Wed Aug 25 23:14:12 EDT 2021
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| COMMENTS
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Conjecture: a(n) = 33*A341623(n) for n >= 1. Motivation: If no term of A341623 is divisible by 11 (which appears to be the case), then sigma[33*A341623(n)]/[33*A341623(n)] = sigma(11)*sigma[3*A341623(n)]/[33*A341623(n)] = 12*[8*A341623(n)]/[33*A341623(n)] = 32/11. Does this sequence, though, contain any additional terms that are not indexedgenerated toby A341623?
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| STATUS
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proposed
editing
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#6 by Timothy L. Tiffin at Wed Aug 25 23:13:12 EDT 2021
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#5 by Timothy L. Tiffin at Wed Aug 25 23:09:58 EDT 2021
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| COMMENTS
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Terms ending in "24" or "x8" (where x is an even digit) have this form. Example: a(1) = 33*A000396(2), a(3) = 33*A000396(3), and a(5n) = 33*A000396(4), ...n-1) for 5, 6, 7, 8.
Conjecture: a(n) = 33*A341623(n) for n >= 1. Motivation: If no term of A341623 is divisible by 11 (which appears to be the case), then sigma[33*A341623(n)]/[33*A341623(n)] = sigma(11)*sigma[3*A341623(n)]/[33*A341623(n)] = 12*[8*A341623(n)]/[33*A341623(n)] = 32/11. Does this sequence, though, contain any additional terms that are not indexed to A341623?
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| FORMULA
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a(n) = 33*A341623(n) for n >= 1.
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| CROSSREFS
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Cf. A000203, A000396, A341623.
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#4 by Timothy L. Tiffin at Wed Aug 25 18:13:16 EDT 2021
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| DATA
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924, 2970, 16368, 18018, 268224, 1107161088, 283465678848, 4535476813824
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| FORMULA
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a(n) = 33*A341623(n) for n >= 1.
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