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Search: id:A159694
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| A159694 |
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a(0)=6, a(n)=2*a(n-1)+2^(n-1) for n>0 . |
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+0
6
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| 6, 13, 28, 60, 128, 272, 576, 1216, 2560, 5376, 11264, 23552, 49152, 102400, 212992, 442368, 917504, 1900544, 3932160, 8126464, 16777216, 34603008, 71303168, 146800640, 301989888, 620756992, 1275068416, 2617245696, 5368709120
(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+6)*binomial(n,k).
Contribution from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 27 2009: (Start)
a(n) = (6+n/2)*2^n.
G.f.: (-11*x + 6)/(1-2*x)^2. (End)
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EXAMPLE
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a(0)=6, a(1)=2*6+1=13, a(2)=2*13+2=28, a(3)=2*28+4=60, a(4)=2*60+8=128, ...
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CROSSREFS
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Cf. A000079, A001787, A001792, A045623, A045891, A034007, A111297
Seventh row of triangle A062111. [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 27 2009]
Sequence in context: A116913 A016071 A086652 this_sequence A145976 A101622 A147330
Adjacent sequences: A159691 A159692 A159693 this_sequence A159695 A159696 A159697
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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 Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Apr 30 2009
More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 27 2009
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