2 new sequences related to one of the BBP formulas.

[Simon Plouffe]

Hello,

  I was surprised that these sequences
were not in the catalog :

%I A000000
%S A000000 2,4,12,16,40,48,112,128,288,320,704,768,1664,1792,3840,
%T A000000 4096,8704,9216,19456,20480,43008,45056,94208,98304,204800,
%U A000000 212992,442368,458752,950272,983040,2031616,2097152,4325376
%N A000000 n*2^floor((n+1)/2).
%R A000000 
http://www.lacim.uqam.ca/~plouffe/index_fichiers/pibase2integerpart.gif
%O A000000 1,1
%K A000000 nonn
%A A000000 simon.plouffe(AT)gmail.com
%H A000000
%D A000000
%p A000000 seq(n*2^(floor((n+1)/2)),n=1..120);

#########################################################################

%I A000000
%S A000000 1,4,6,16,20,48,56,128,144,320,352,768,832,1792,1920,4096,
%T A000000 4352,9216,9728,20480,21504,45056,47104,98304,102400,212992,
%U A000000 221184,458752,475136,983040,1015808,2097152,2162688,4456448
%N A000000
%R A000000 
http://www.lacim.uqam.ca/~plouffe/index_fichiers/pibase2integerpart.gif
%O A000000 1,2
%K A000000 nonn
%A A000000 simon.plouffe(AT)gmail.com
%H A000000
%D A000000
%p A000000 seq(n*2^(floor(n/2)),n=1..120);
#########################################################################

The second sequence is half of the first one.
They are related to one of the formulation of the BBP formula.

I putted a link for the image of the formula.

Simon Plouffe