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Search: id:A123685
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| A123685 |
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Counts compositions as described by table A047969; however, only those ending with an odd part are considered. |
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+0
4
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| 1, 1, 0, 1, 1, 1, 1, 3, 4, 0, 1, 7, 14, 2, 1, 1, 15, 46, 14, 7, 0, 1, 31, 146, 74, 43, 3, 1, 1, 63, 454, 350, 247, 33, 10, 0, 1, 127, 1394, 1562, 1363, 273, 88, 4, 1, 1, 255, 4246, 6734, 7327, 2013, 724, 60, 13, 0, 1, 511, 12866, 28394, 38683, 13953, 5716, 676, 149, 5, 1, 1
(list; table; graph; listen)
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OFFSET
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1,8
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EXAMPLE
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Row four of table A047969 counts the 14 compositions
4
31 13 32 23 33
211 121 112 221 212 122 222
1111
whereas A123685 only counts
31 13 32 33
121 112 122
and 1111
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MAPLE
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g:= proc(b, t, l, m) option remember; if t=0 then b*l else add (g(b, t-1, irem(k, 2), m), k=1..m-1) +g(1, t-1, irem(m, 2), m) fi end: A:= (n, k)-> g(0, k, 0, n): seq (seq (A(n, d+1-n), n=1..d), d=1..12); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Nov 06 2009]
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CROSSREFS
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Diagonals include A000012 A059841 A000225 A123684 and A027649.
Sequence in context: A107681 A021298 A073234 this_sequence A124917 A025278 A063405
Adjacent sequences: A123682 A123683 A123684 this_sequence A123686 A123687 A123688
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KEYWORD
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nonn,tabl,new
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com), Oct 11 2006
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EXTENSIONS
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More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Nov 06 2009
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