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1, 5, 18, 67, 260, 1029, 4102, 16391, 65544, 262153, 1048586, 4194315, 16777228, 67108877, 268435470, 1073741839, 4294967312, 17179869201, 68719476754, 274877906963, 1099511627796, 4398046511125, 17592186044438, 70368744177687
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| G.f.: (-1+x+3*x^2)/((4*x-1)*(x-1)^2). a(n)= 6 a(n-1) -9 a(n-2) +4 a(n-3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 29 2009]
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EXAMPLE
| a(0)=4^0+0 = 1, a(1)=4^1+1 = 5, a(2)=4^2+2 = 18, a(3)=4^3+3 = 67, ...
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MATHEMATICA
| Table[4^n+n, {n, 0, 40}] (* From Vladimir Joseph Stephan Orlovsky, May 19 2011 *)
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CROSSREFS
| Cf. A006127, A104743, A104745,
Sequence in context: A051944 A153373 A166677 * A199843 A109438 A164051
Adjacent sequences: A158876 A158877 A158878 * A158880 A158881 A158882
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KEYWORD
| easy,nonn
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 28 2009
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EXTENSIONS
| Corrected typo in a(22). R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 29 2009
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