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A080951 Sequence associated with recurrence a(n)=2*a(n-1)+k(k+2)*a(n-2). +0
9
1, 5, 30, 140, 560, 2016, 6720, 21120, 63360, 183040, 512512, 1397760, 3727360, 9748480, 25067520, 63504384, 158760960, 392232960, 958791680, 2321285120, 5571084288, 13264486400, 31352422400, 73610035200, 171756748800 (list; graph; listen)
OFFSET

0,2

COMMENT

Fifth column of triangle A080928.

FORMULA

G.f.: (1-x)(1-4x+16x^2-24x^3+16x^4)/(1-2x)^5

ceil(binomial(n+4,4)*2^(n-1)). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 01 2006

MAPLE

[seq( ceil(binomial(n+4, 4)*2^(n-1)), n=0..24)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 01 2006

CROSSREFS

Cf. A082140, A082141, A082138, A082139, A080929, A057711.

Sequence in context: A000649 A027173 A054612 this_sequence A055298 A104891 A110155

Adjacent sequences: A080948 A080949 A080950 this_sequence A080952 A080953 A080954

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Feb 26 2003

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.


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