<div>I checked the parity of Warut's early bird values and there *may* be a connection with the following sequences: I have no idea why this should be the case and my apology if this is a red herring !!!</div>  <div> </div>  <div>A091264  Matrix defined by a(n,k) = 2^n + (k-1), read by antidiagonals.<BR>A128138  A000012 * A128132.<BR>A128219  A000012 * A127701. a(1) = 1, a(2) = 2, a(3) = 2; by rows, n-1 terms of 2, 3, 4...followed by "n".</div>  <div> </div>  <div>Parity values below; note these fail to match in a couple of places, suggesting I may have made an editing error, or that perhaps Warut's values should be checked?</div>  <div> </div>  <div>Jeremy</div>  <div>         0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,<BR>A091264
 ,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0, </div>  <div>         1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0,<BR>A128138 ,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0, <BR>A128219 ,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0, </div>  <div>A091264  Matrix defined by a(n,k) = 2^n + (k-1), read by antidiagonals.<BR>A128138  A000012 * A128132.<BR>A128219  A000012 * A127701. a(1) = 1, a(2) = 2, a(3) = 2; by rows, n-1 terms of 2, 3, 4...followed by "n".</div>  <div> </div>  <div>------------------------------------------------------------------------------------------<BR><B><I>Warut Roonguthai
 <warut822@gmail.com></I></B> wrote:</div>  <BLOCKQUOTE class=replbq style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #1010ff 2px solid">Here are the first 157 terms of the early bird sequence:<BR><BR>12,21,23,31,32,34,41,42,43,45,51,52,53,54,56,61,62,63,64,65,<BR>67,71,72,73,74,75,76,78,81,82,83,84,85,86,87,89,91,92,93,94,<BR>95,96,97,98,99,101,110,111,112,121,122,123,131,132,141,142,<BR>151,152,161,162,171,172,181,182,191,192,201,202,210,211,<BR>212,213,214,215,216,217,218,219,220,221,222,223,231,232,<BR>233,234,241,242,243,251,252,253,261,262,263,271,272,273,<BR>281,282,283,291,292,293,301,302,303,310,311,312,313,314,<BR>315,316,317,318,319,320,321,322,323,324,325,326,327,328,<BR>329,330,331,332,333,334,341,342,343,344,345,351,352,353,<BR>354,361,362,363,364,371,372,373,374,381,382,383,384,391,<BR>392,393,394<BR><BR></BLOCKQUOTE>