A151795 - OEIS

%I #2 Mar 30 2012 16:51:06

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,3,0,0,0,

%T 0,0,0,0,1,0,0,0,0,0,0,1,3,0,0,0,0,0,0,1,2,0,0,0,0,0,1,5,7,0,0,0,0,0,

%U 0,0,1,0,0,0,0,0,0,1,3,0,0,0,0,0,0,1,2,0,0,0,0,0,1,5,7,0,0,0,0,0,0,1,2,0,0

%N Let P = g.f. for A151755, then g.f. for present sequence is G = (P-(x^7+x^15+x^31+x^63+...))/(1+2*x).

%C This was an attempt (so far unsuccessful) to find a closed form for P.

%e G = x^14 + x^22 + x^29 + 3*x^30 + x^38 + x^45 + 3*x^46 + x^53 + 2*x^54 + x^60 + 5*x^61 + 7*x^62 + x^70 + x^77 + 3*x^78 + x^85 + 2*x^86 + x^92 + 5*x^93 + 7*x^94 + x^101 + 2*x^102 + x^108 + 5*x^109 + 6*x^110 + x^116 + 4*x^117 + 4*x^118 + x^123 + 7*x^124 + 17*x^125 + 15*x^126 + ...

%Y Cf. A151755.

%K nonn

%O 0,31

%A _N. J. A. Sloane_, Jun 26 2009