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A086437
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Triangle of number C(3; m,k) of arrangements of k objects of one type and m of another such that no 3-run occurs.
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0
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1, 1, 1, 1, 2, 3, 2, 1, 1, 3, 6, 7, 6, 3, 1, 0, 2, 7, 14, 18, 16, 10, 4, 1, 0, 1, 6, 18, 34, 45, 43, 30, 15, 5, 1, 0, 0, 3, 16, 45, 84, 113, 114, 87, 50, 21, 6, 1, 0, 0, 1, 10, 43, 113, 208, 285, 300, 246, 157, 77, 28, 7, 1, 0, 0, 0, 4, 30, 114, 285, 518, 720, 786, 683, 474, 261
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OFFSET
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0,5
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LINKS
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Table of n, a(n) for n=0..75.
Eric Weisstein's World of Mathematics, Run
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EXAMPLE
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1, 1, 1; 1, 2, 3, 2, 1; 1, 3, 6, 7, 6, 3, 1; 0, 2, 7, 14, 18, 16, 10, 4, 1...
C(3;0,0), C(3;0,1), C(3;0,2); C(3;1,0}, C(3;1,1), C(3;1,2), C(3;1,3), C(3;1,4); ...
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CROSSREFS
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Sequence in context: A333271 A208233 A176270 * A027907 A026323 A017838
Adjacent sequences: A086434 A086435 A086436 * A086438 A086439 A086440
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KEYWORD
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nonn,tabl
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AUTHOR
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Eric W. Weisstein, Jul 19 2003
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STATUS
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approved
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