Revision History for A319981
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| A319981
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a(n) is the number of integer partitions of n with largest part <= 3 for which the index of the seaweed algebra formed by the integer partition paired with its weight is 0.
(history;
published version)
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#33 by Ray Chandler at Mon Mar 04 00:38:24 EST 2024
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#32 by Ray Chandler at Mon Mar 04 00:38:21 EST 2024
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<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1).
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| STATUS
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approved
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#31 by Michel Marcus at Fri Dec 07 12:40:07 EST 2018
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#30 by Andrew Howroyd at Fri Dec 07 12:24:32 EST 2018
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#29 by Muniru A Asiru at Fri Dec 07 02:47:59 EST 2018
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#28 by Muniru A Asiru at Fri Dec 07 02:47:43 EST 2018
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Muniru A Asiru, <a href="/A319981/b319981.txt">Table of n, a(n) for n = 1..1000</a>
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| MAPLE
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1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2 seq(op([0, 2]), n=1..30); # Muniru A Asiru, Dec 07 2018
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| PROG
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(GAP) a:=[1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2];; Concatenation(a, Flat(List([1..30], n->[0, 2]))); # Muniru A Asiru, Dec 07 2018
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proposed
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#27 by Jean-François Alcover at Fri Dec 07 02:30:50 EST 2018
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#26 by Jean-François Alcover at Fri Dec 07 02:30:43 EST 2018
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| MATHEMATICA
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Join[{1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1}, LinearRecurrence[{0, 1}, {2, 0}, 100]] (* Jean-François Alcover, Dec 07 2018 *)
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#25 by Michael Somos at Sun Nov 04 23:52:40 EST 2018
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#24 by Michel Marcus at Thu Oct 04 09:50:27 EDT 2018
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Discussion
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| Tue Oct 23
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| Nick Mayers: Also, I wanted to mention that for partitions with greatest part >7, periodicity stops so that the sequences I have submitted are the only "interesting" ones with this property.
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