



0, 1, 1, 1, 2, 2, 4, 4, 8, 8, 16, 16, 32, 32, 64, 64, 128, 128, 256, 256, 512, 512, 1024, 1024, 2048, 2048, 4096, 4096, 8192, 8192, 16384, 16384, 32768, 32768, 65536, 65536, 131072, 131072, 262144, 262144, 524288
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OFFSET

0,5


COMMENTS

This construction combines the 2 basic sequences which equal their first differences in the same way as A138635 does for sequences which equal their 3rd differences and A137171 does for sequences which equal their fourth differences.
Essentially the same as A016116, A060546, and A131572.  R. J. Mathar, Apr 08 2009
Dropping a(0), this is the inverse binomial transform of A024537.  R. J. Mathar, Apr 08 2009


LINKS

Table of n, a(n) for n=0..40.
Index entries for linear recurrences with constant coefficients, signature (0, 2).


FORMULA

a(2n)+a(2n+1)= A000079(n).
G.f.: x*(1+xx^2)/(12*x^2).  R. J. Mathar, Apr 08 2009


CROSSREFS

Sequence in context: A263614 A082267 A076939 * A117575 A131572 A152166
Adjacent sequences: A158777 A158778 A158779 * A158781 A158782 A158783


KEYWORD

nonn


AUTHOR

Paul Curtz, Mar 26 2009


EXTENSIONS

Edited by R. J. Mathar, Apr 08 2009


STATUS

approved



