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Search: id:A159696
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| A159696 |
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a(0)=8, a(n)=2*a(n-1)+2^(n-1) for n>0 . |
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+0
4
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| 8, 17, 36, 76, 160, 336, 704, 1472, 3072, 6400, 13312, 27648, 57344, 118784, 245760, 507904, 1048576, 2162688, 4456448, 9175040, 18874368, 38797312, 79691776, 163577856, 335544320, 687865856, 1409286144, 2885681152, 5905580032
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Diagonal of triangles A062111, A152920 .
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FORMULA
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a(n)=Sum_{k=0..n} (k+8)*binomial(n,k).
a(n)=(16+n)*2^(n-1) = 4*a(n-1)-4*a(n-2). G.f.: (8-15x)/(1-2x)^2. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2009]
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EXAMPLE
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a(0)=8, a(1)=2*8+1=17, a(2)=2*17+2=36, a(3)=2*36+4=76, a(4)=2*76+8=160, ...
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CROSSREFS
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Cf. A000079, A001787, A001792, A045623, A045891, A034007, A111297, A159694, A159695
Sequence in context: A077221 A106648 A076980 this_sequence A049713 A041849 A041124
Adjacent sequences: A159693 A159694 A159695 this_sequence A159697 A159698 A159699
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KEYWORD
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easy,nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 20 2009
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 20 2009
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