

A173435


Inverse binomial transform of A143025, assuming offset zero there.


0



8, 6, 12, 25, 52, 106, 212, 420, 832, 1656, 3312, 6640, 13312, 26656, 53312, 106560, 212992, 425856, 851712, 1703680, 3407872, 6816256, 13632512, 27264000, 54525952, 109049856, 218099712, 436203520, 872415232, 1744838656, 3489677312, 6979338240
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OFFSET

0,1


COMMENTS

Inverse binomial transform of 8, 2, 8, 1, 8, 2 ,8, 1,... with a(0)=8, a(1)=2 etc.


LINKS

Table of n, a(n) for n=0..31.
Index entries for linear recurrences with constant coefficients, signature (4, 6, 4).


FORMULA

a(n)= 4*a(n1) 6*a(n2) 4*a(n3), n>3. G.f.: (26*x+36*x^2+19*x^3+8)/( (2*x+1) * (2*x^2+2*x+1)). [R. J. Mathar, Mar 10 2010]
a(n+1) +2*a(n) = (1)^(n+1)*A009545(n1), n > 0.


MATHEMATICA

Join[{8}, LinearRecurrence[{4, 6, 4}, {6, 12, 25}, 40]] (* Harvey P. Dale, Sep 25 2013 *)


CROSSREFS

Sequence in context: A034085 A303316 A340518 * A184728 A119876 A281718
Adjacent sequences: A173432 A173433 A173434 * A173436 A173437 A173438


KEYWORD

sign


AUTHOR

Paul Curtz, Feb 18 2010


EXTENSIONS

Extended by R. J. Mathar, Mar 10 2010


STATUS

approved



