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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 (list; graph; refs; listen; history; text; internal format)
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)/((2x-1)(1+2x)(x-1)). - R. J. Mathar, Aug 02 2008

a(0)=0, a(1)=1, a(2)=1, a(3)=7, a(n)=a(n-1)+4*a(n-2)-4*a(n-3) 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

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Last modified December 18 15:56 EST 2014. Contains 252163 sequences.