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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. 0
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 (list; table; graph; refs; listen; history; text; internal format)
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: A333271 A208233 A176270 * A027907 A026323 A017838

Adjacent sequences:  A086434 A086435 A086436 * A086438 A086439 A086440

KEYWORD

nonn,tabl

AUTHOR

Eric W. Weisstein, Jul 19 2003

STATUS

approved

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Last modified May 28 21:37 EDT 2020. Contains 334690 sequences. (Running on oeis4.)