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A159695
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a(0)=7, a(n)=2*a(n-1)+2^(n-1) for n>0 .
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5
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7, 15, 32, 68, 144, 304, 640, 1344, 2816, 5888, 12288, 25600, 53248, 110592, 229376, 475136, 983040, 2031616, 4194304, 8650752, 17825792, 36700160, 75497472, 155189248, 318767104, 654311424, 1342177280, 2751463424, 5637144576
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Diagonal of triangles A062111, A152920 .
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FORMULA
| a(n)=Sum_{k=0..n} (k+7)*binomial(n,k).
a(n) = (14+n)*2^(n-1) = 4*a(n-1)-4*a(n-2). G.f.: (7-13x)/(1-2x)^2. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2009]
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EXAMPLE
| a(0)=7, a(1)=2*7+1=15, a(2)=2*15+2=32, a(3)=2*32+4=68, a(4)=2*68+8=144, ...
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CROSSREFS
| Cf. A000079, A001787, A001792, A045623, A045891, A034007, A111297, A159694
Sequence in context: A137196 A120094 A078485 * A014001 A174792 A063592
Adjacent sequences: A159692 A159693 A159694 * A159696 A159697 A159698
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KEYWORD
| easy,nonn
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 20 2009
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2009
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