NEW SEQ?

[zak seidov]

--- zak seidov <zakseidov at yahoo.com> wrote:
<...............>
> 2. Yes, my calcs give:
<..............>

Here are calc's for some initial seqs, in first {}'s,
giving numbers of 1's, 0's and length of rows,
resulting sequences, in second {}'s,
are/not found in OEIS.
Any ideas?
ATB, Zak

Number of 1's (* n1 = nr - n0 *)
{{0,0},{{0,0,0,0,0,0,0,0,0,0,0}}}
{{0,1},{1,2,4,9,21,50,120,289,697,1682,4060}} a(n) =
A024537(n)= A048739(n-1)+1
{{1,1},{2,3,6,13,30,71,170,409,986,2379,5742,13861}}a(n)
=  A052937(n)
{{0,0,0},{0,0,0,0,0,0,0,0,0,0,0}}
{{0,0,1},{1,2,4,9,21,50,120,289,697,1682,4060}}
a(n)=A024537(n) = A048739(n-1)+1
{{0,1,0},{1,3,7,17,41,99,239,577,1393,3363,8119}}
a(n)=A001333(n) 
{{0,1,1},{2,4,9,21,50,120,289,697,1682,4060,9801}} 
a(n)=A024537(n+1)
{{1,1,1},{3,5,11,25,59,141,339,817,1971,4757,11483}}
a(n)=A052542(n+1)+1

Number of 0's  (* n0 = nr - n1 *)
{{0,0},{2,3,5,9,17,33,65,129,257,513,1025,2049}} (*
2^(n-1) + 1 *)
{{0,1},{1,1,2,4,9,21,50,120,289,697,1682}} n>2:
a(n)=A024537(n-2),
{{0,1},{0,1,2,5,12,29,70,169,408,985,2378,5741}} a(n)
= A000129(n) Pell numbers
{{0,0,0},{3,5,9,17,33,65,129,257,513,1025,2049}} (*
2^n + 1 *)
{{0,0,1},{2,3,6,12,25,53,114,248,545,1209,2706}}
a(n)=?
{{0,1,0},{2,2,4,8,18,42,100,240,578,1394,3364}} a(n)=?
{{0,1,1},{1,2,4,9,21,50,120,289,697,1682,4060}}  n>1:
a(n)=A024537(n-1),
{{1,1,1},{0,2,4,10,24,58,140,338,816,1970,4756}} n>1:
a(n)=A052542(n)



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