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Search: id:A035317
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| 1, 1, 1, 1, 2, 2, 1, 3, 4, 2, 1, 4, 7, 6, 3, 1, 5, 11, 13, 9, 3, 1, 6, 16, 24, 22, 12, 4, 1, 7, 22, 40, 46, 34, 16, 4, 1, 8, 29, 62, 86, 80, 50, 20, 5, 1, 9, 37, 91, 148, 166, 130, 70, 25, 5, 1, 10, 46, 128, 239, 314, 296, 200, 95, 30, 6, 1, 11, 56, 174, 367, 553, 610, 496, 295, 125
(list; table; graph; listen)
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OFFSET
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0,5
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REFERENCES
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E. Mendelsohn, Races with ties, Math. Mag. 55 (1982), 170-175.
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FORMULA
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Reference gives recurrence.
T(n, k)=if(k>n, 0, Sum {j=0..floor(n/2) binomial(n-2j, k-2j)} - Paul Barry (pbarry(AT)wit.ie), Feb 11 2003
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EXAMPLE
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Triangle begins:
1;
1,1;
1,2,2;
1,3,4,2;
1,4,7,6,3;
1,5,11,13,9,3;
1,6,16,24,22,12,4;
1,7,22,40,46,34,16,4;
1,8,29,62,86,80,50,20,5;
1,9,37,91,148,166,130,70,25,5;
1,10,46,128,239,314,296,200,95,30,6;
...
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CROSSREFS
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Row sums are A000975, diagonal sums are A080239
Similar to the triangles A059259, A080242, A108561, A112555.
Cf. A059260.
Sequence in context: A076019 A071453 A080242 this_sequence A103923 A061987 A105809
Adjacent sequences: A035314 A035315 A035316 this_sequence A035318 A035319 A035320
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KEYWORD
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nonn,easy,tabl,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu)
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