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Search: id:A158879
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A158879 a(n)=4^n+n. +0
1
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; listen)
OFFSET

0,2

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]

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, ...

CROSSREFS

Cf. A006127, A104743, A104745,

Sequence in context: A051944 A153373 A166677 this_sequence A109438 A164051 A134764

Adjacent sequences: A158876 A158877 A158878 this_sequence A158880 A158881 A158882

KEYWORD

easy,nonn

AUTHOR

Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 28 2009

EXTENSIONS

Corrected typo in a(22). R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 29 2009

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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