A086582 - OEIS

%I #4 Mar 30 2012 18:36:38

%S 1,1,1,2,1,2,3,6,1,2,3,6,7,10,16,26,1,2,3,6,7,10,16,26,29,34,46,50,75,

%T 102,146,180,1,2,3,6,7,10,16,26,29,34,46,50,75,102,146,180,207,246,

%U 312,310,409,498,572,440,633,858,1164,1368,1726,2170,2536,2512,1,2,3,6,7,10

%N First 2^n terms of the self-convolution generates the next 2^n terms of this sequence after the 2^n-th term, for all n>=0, where a(0)=1.

%e The first 8 terms of the self-convolution of {1,1,1,2,1,2,3,6} gives the next 8 terms: {1,2,3,6,7,10,16,26}; together these form the first 16 terms of this sequence: {1,1,1,2,1,2,3,6, 1,2,3,6,7,10,16,26}.

%Y The self-convolution is A086583, the 2^n-th terms are given by A086584.

%K easy,nonn

%O 0,4

%A _Paul D. Hanna_, Jul 23 2003