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A027777 2*(n+1)*C(n+2,4). +0
4
6, 40, 150, 420, 980, 2016, 3780, 6600, 10890, 17160, 26026, 38220, 54600, 76160, 104040, 139536, 184110, 239400, 307230, 389620, 488796, 607200, 747500, 912600, 1105650, 1330056, 1589490, 1887900, 2229520, 2618880 (list; graph; listen)
OFFSET

0,1

FORMULA

Number of 7-subsequences of [ 1, n ] with just 2 contiguous pairs; g.f. 2*(3+2x)/(1-x)^6.

C(n+3, 3)*C(n+4, 2) - Zerinvary Lajos (zlaja(AT)freemail.hu), May 13 2005

MAPLE

[seq (stirling2(n+1, n)*binomial(n, 3), n=3..32)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 05 2006

a:=n->(sum((numbperm(n, 4)), j=2..n)):seq(a(n)/12, n=4..33); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 26 2008]

CROSSREFS

Twice A006411.

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 2009: (Start)

Equals second right hand column of A163934.

(End)

Sequence in context: A114079 A002595 A089207 this_sequence A073773 A001919 A005553

Adjacent sequences: A027774 A027775 A027776 this_sequence A027778 A027779 A027780

KEYWORD

nonn

AUTHOR

thi ngoc dinh (via rkg(AT)cpsc.ucalgary.ca)

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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