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A064762 21n^2. 0
0, 21, 84, 189, 336, 525, 756, 1029, 1344, 1701, 2100, 2541, 3024, 3549, 4116, 4725, 5376, 6069, 6804, 7581, 8400, 9261, 10164, 11109, 12096, 13125, 14196, 15309, 16464, 17661, 18900, 20181, 21504, 22869, 24276, 25725, 27216, 28749 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Number of edges in a complete 7-partite graph of order 7n, K_n,n,n,n,n,n,n

FORMULA

a(n)=42*n+a(n-1)-21 (with a(0)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 07 2010]

EXAMPLE

a(1)=42*1+0-21=21; a(2)=42*2+21-21=84; a(3)=42*3+84-21=189 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 07 2010]

MAPLE

a:=n->sum(sum(binomial(n, k)*k!*(1)^j, j=0..20), k=1..2): seq(a(n), n=0..37); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 18 2007

CROSSREFS

A033583, A033581, A000290, A000217, A033428.

Sequence in context: A195961 A190023 A071397 * A104676 A143244 A041856

Adjacent sequences:  A064759 A064760 A064761 * A064763 A064764 A064765

KEYWORD

nonn

AUTHOR

Roberto E. Martinez II (remartin(AT)fas.harvard.edu), Oct 18 2001

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Last modified February 14 22:14 EST 2012. Contains 205670 sequences.