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A011843 [ C(n,5)/6 ]. 1
0, 0, 0, 0, 0, 0, 1, 3, 9, 21, 42, 77, 132, 214, 333, 500, 728, 1031, 1428, 1938, 2584, 3391, 4389, 5608, 7084, 8855, 10963, 13455, 16380, 19792, 23751, 28318, 33562, 39556, 46376, 54105, 62832, 72649, 83657 (list; graph; refs; listen; history; internal format)
OFFSET

0,8

FORMULA

a(n) = +5*a(n-1) -10*a(n-2) +10*a(n-3) -5*a(n-4) +a(n-5) +a(n-18) -5*a(n-19) +10*a(n-20) -10*a(n-21) +5*a(n-22) -a(n-23) -a(n-36) +5*a(n-37) -10*a(n-38) +10*a(n-39) -5*a(n-40) +a(n-41) +a(n-54) -5*a(n-55) +10*a(n-56) -10*a(n-57) +5*a(n-58) -a(n-59). [From R. J. Mathar, Apr 15 2010]

a(n) = floor(binomial(n+1,6)/(n+1)). [From Gary Detlefs, Nov 23 2011]

MAPLE

seq(floor(binomial(n, 5)/6), n=0..38); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 12 2009]

CROSSREFS

A column of triangle A011847.

Sequence in context: A097119 A146608 A161214 * A080549 A175006 A084569

Adjacent sequences:  A011840 A011841 A011842 * A011844 A011845 A011846

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 18:01 EST 2012. Contains 206061 sequences.