A086437 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.

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

Offset

0,5

Links

Table of n, a(n) for n=0..75.

Eric Weisstein's World of Mathematics, Run

Example

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); ...

Crossrefs

Sequence in context: A208233 A176270 A361802 * A027907 A026323 A017838

Adjacent sequences: A086434 A086435 A086436 * A086438 A086439 A086440

Keyword

nonn,tabl

Author

Eric W. Weisstein, Jul 19 2003

Status

approved