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Search: id:A027271
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A027271 a(n) = Sum{(k+1)*T(n,k)}, 0<=k<=2n, T given by A026536. +0
1
1, 4, 18, 48, 180, 432, 1512, 3456, 11664, 25920, 85536, 186624, 606528, 1306368, 4199040, 8957952, 28553472, 60466176, 191476224, 403107840, 1269789696, 2660511744, 8344332288, 17414258688, 54419558400, 113192681472 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: (1+4x+6x^2)/(1-6x^2)^2 = dif((1+3x)/(1-6x^2), x); a(n)=6^(n/2)((sqrt(3)-sqrt(2))(-1)^n+(sqrt(3)+sqrt(2)))(n+1)sqrt(3)/6. - Paul Barry (pbarry(AT)wit.ie), Mar 03 2004

CROSSREFS

Adjacent sequences: A027268 A027269 A027270 this_sequence A027272 A027273 A027274

Sequence in context: A023650 A045991 A114364 this_sequence A073991 A052642 A102928

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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