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Search: id:A099754
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| 2, 4, 9, 22, 57, 154, 429, 1222, 3537, 10354, 30549, 90622, 269817, 805354, 2407869, 7207222, 21588897, 64701154, 193972389, 581655022, 1744440777, 5232273754, 15694724109, 47079978022, 141231545457, 423677859154, 1271000023029
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OFFSET
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0,1
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COMMENT
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Let b(0)=1, b(n)=A005578(n-1)=1,1,2,3,6,11,22,43,86,171,342... a(n)=Sum(k=0..n+1:C(n+1,k)*b(k))
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FORMULA
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a(k)=(3^k+1)/2+2^k
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EXAMPLE
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a(6)=(3^6+1)/2+2^6=365+64=429
a(6)=1+7*1+21*1+35*2+35*3+21*6+7*11+1*22=429
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CROSSREFS
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Cf. A005578.
Sequence in context: A025265 A037245 A130018 this_sequence A105633 A099241 A124380
Adjacent sequences: A099751 A099752 A099753 this_sequence A099755 A099756 A099757
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KEYWORD
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easy,nonn
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AUTHOR
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Miklos Kristof (kristmikl(AT)freemail.hu), Nov 11 2004
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EXTENSIONS
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Corrected and extended by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006
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