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A028326 Twice Pascal's triangle A007318: T(n,k) = 2*C(n,k). +0
8
2, 2, 2, 2, 4, 2, 2, 6, 6, 2, 2, 8, 12, 8, 2, 2, 10, 20, 20, 10, 2, 2, 12, 30, 40, 30, 12, 2, 2, 14, 42, 70, 70, 42, 14, 2, 2, 16, 56, 112, 140, 112, 56, 16, 2, 2, 18, 72, 168, 252, 252, 168, 72, 18, 2, 2, 20, 90, 240, 420, 504, 420, 240, 90, 20, 2, 2, 22, 110, 330, 660, 924 (list; table; graph; listen)
OFFSET

0,1

COMMENT

Also number of binary vectors of length n+1 with k+1 runs (1<=k<=n).

EXAMPLE

Triangle begins:

2

2, 2

2, 4, 2

2, 6, 6, 2

2, 8, 12, 8, 2

2, 10, 20, 20, 10, 2

2, 12, 30, 40, 30, 12, 2

2, 14, 42, 70, 70, 42, 14, 2

2, 16, 56, 112, 140, 112, 56, 16, 2

2, 18, 72, 168, 252, 252, 168, 72, 18, 2

2, 20, 90, 240, 420, 504, 420, 240, 90, 20, 2

2, 22, 110, 330, 660, 924, 924, 660, 330, 110, 22, 2

2, 24, 132, 440, 990, 1584, 1848, 1584, 990, 440, 132, 24, 2

MAPLE

T:=proc(n, k) if k=1 then ithprime(k) elif k>n then 0 else T(n-1, k)+T(n-1, k-1) fi end: for n from 1 to 13 do seq(T(n, k), k=1..n) od; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 16 2006

CROSSREFS

Cf. A028327, A007318.

Sequence in context: A069733 A081755 A097859 this_sequence A156046 A048003 A098219

Adjacent sequences: A028323 A028324 A028325 this_sequence A028327 A028328 A028329

KEYWORD

nonn,tabl,easy,nice

AUTHOR

Mohammad K. Azarian (ma3(AT)evansville.edu)

EXTENSIONS

More terms from Donald Manchester, Jr. (s1199170(AT)cedarnet.cedarville.edu)

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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