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A080960
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Third binomial transform of A010685 (period 2: repeat 1,4).
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4
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1, 7, 34, 148, 616, 2512, 10144, 40768, 163456, 654592, 2619904, 10482688, 41936896, 167759872, 671064064, 2684305408, 10737319936, 42949476352, 171798298624, 687193980928, 2748777496576, 10995113132032, 43980458819584
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = 4*a(n-1)+3*2^(n-1).
a(n) = (5/2)*4^n-(3/2)*2^n.
G.f.: (1+x)/((1-2*x)*(1-4*x)). [From Klaus Brockhaus, Nov 26 2009]
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PROG
| (MAGMA) binomtf:=func< V | [ &+[ Binomial(i-1, k-1)*V[k]: k in [1..i] ]: i in [1..#V] ] >;
binomtf(binomtf(binomtf(&cat[ [1, 4]: n in [1..12] ]))); [From Klaus Brockhaus, Nov 26 2009]
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CROSSREFS
| Cf. A010685, A080961, A048473, A003945.
Sequence in context: A094891 A192803 A052161 * A099242 A032206 A124466
Adjacent sequences: A080957 A080958 A080959 * A080961 A080962 A080963
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 03 2003
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EXTENSIONS
| Definition corrected, edited by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 26 2009
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