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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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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; refs; listen; history; internal format)
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OFFSET
| 1,8
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EXAMPLE
| 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
| g:= proc(b, t, l, m) option remember; `if` (t=0, b*l, add (g(b, t-1, irem(k, 2), m), k=1..m-1) +g(1, t-1, irem(m, 2), m)) end: A:= (n, k)-> g(0, k, 0, n): seq (seq (A(n, d+1-n), n=1..d), d=1..13); # Alois P. Heinz, Nov 06 2009
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CROSSREFS
| Diagonals include A000012 A059841 A000225 A123684 and A027649.
Sequence in context: A194587 A175646 A073234 * A124917 A189916 A025278
Adjacent sequences: A123682 A123683 A123684 * A123686 A123687 A123688
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KEYWORD
| nonn,tabl
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Oct 11 2006
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EXTENSIONS
| More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Nov 06 2009
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