

A140252


Inverse binomial transform of A140420.


1



0, 1, 1, 7, 7, 31, 31, 127, 127, 511, 511, 2047, 2047, 8191, 8191, 32767, 32767, 131071, 131071, 524287, 524287, 2097151, 2097151, 8388607, 8388607, 33554431, 33554431, 134217727, 134217727, 536870911, 536870911
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OFFSET

0,4


LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000


FORMULA

a(2n+1)= a(2n+2)= A083420(n).
a(n+1)2a(n) = (1)^n*A014551(n), n>0.
a(n+1)2a(n)1 = 2*(1)^n*A131577(n).
O.g.f.: x(1+2x^2)/((2x1)(1+2x)(x1)).  R. J. Mathar, Aug 02 2008
a(0)=0, a(1)=1, a(2)=1, a(3)=7, a(n)=a(n1)+4*a(n2)4*a(n3) From Harvey P. Dale, May 28 2012


MATHEMATICA

Join[{0}, LinearRecurrence[{1, 4, 4}, {1, 1, 7}, 30]] (* Harvey P. Dale, May 28 2012 *)


CROSSREFS

Sequence in context: A246039 A186142 A188274 * A095343 A121210 A241866
Adjacent sequences: A140249 A140250 A140251 * A140253 A140254 A140255


KEYWORD

nonn


AUTHOR

Paul Curtz, Jun 23 2008


EXTENSIONS

Edited and extended by R. J. Mathar, Aug 02 2008


STATUS

approved



