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| A287144
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Number of partitions of n such that the absolute difference between any part i and the sum of all other parts not larger than i is not larger than two.
(history;
published version)
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#18 by Alois P. Heinz at Fri Dec 11 12:56:22 EST 2020
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#17 by Jean-François Alcover at Fri Dec 11 09:51:19 EST 2020
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#16 by Jean-François Alcover at Fri Dec 11 09:51:15 EST 2020
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| MATHEMATICA
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b[n_, i_] := b[n, i] = If[n == 0, 1, If[i < 1, 0, b[n, i - 1] + If[i > n || Abs[i - (n - i)] > 2, 0, b[n - i, i]]]];
a[n_] := b[n, n];
a /@ Range[0, 100] (* Jean-François Alcover, Dec 11 2020, after Alois P. Heinz *)
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| STATUS
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approved
editing
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#15 by Alois P. Heinz at Sun Jun 11 08:50:42 EDT 2017
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#14 by Alois P. Heinz at Sun Jun 11 08:50:19 EDT 2017
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#13 by OEIS Server at Sat May 20 21:10:08 EDT 2017
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| LINKS
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Alois P. Heinz, <a href="/A287144/b287144_1.txt">Table of n, a(n) for n = 0..16384</a>
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#12 by Alois P. Heinz at Sat May 20 21:10:08 EDT 2017
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Discussion
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| Sat May 20
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| OEIS Server: Installed new b-file as b287144.txt. Old b-file is now b287144_1.txt.
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#11 by Alois P. Heinz at Sat May 20 21:10:03 EDT 2017
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| LINKS
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Alois P. Heinz, <a href="/A287144/b287144_1.txt">Table of n, a(n) for n = 0..1000016384</a>
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| STATUS
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approved
editing
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#10 by Alois P. Heinz at Sat May 20 20:18:44 EDT 2017
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#9 by Alois P. Heinz at Sat May 20 20:18:41 EDT 2017
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| KEYWORD
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nonn,look,new
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| STATUS
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approved
editing
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