Early Bird numbers

JEREMY GARDINER jeremy.gardiner at btinternet.com
Mon Jul 23 13:53:35 CEST 2007


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 !!!
   
  A091264  Matrix defined by a(n,k) = 2^n + (k-1), read by antidiagonals.
A128138  A000012 * A128132.
A128219  A000012 * A127701. a(1) = 1, a(2) = 2, a(3) = 2; by rows, n-1 terms of 2, 3, 4...followed by "n".
   
  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?
   
  Jeremy
           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,
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, 
           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,
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, 
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, 
  A091264  Matrix defined by a(n,k) = 2^n + (k-1), read by antidiagonals.
A128138  A000012 * A128132.
A128219  A000012 * A127701. a(1) = 1, a(2) = 2, a(3) = 2; by rows, n-1 terms of 2, 3, 4...followed by "n".
   
  ------------------------------------------------------------------------------------------
Warut Roonguthai <warut822 at gmail.com> wrote:
  Here are the first 157 terms of the early bird sequence:

12,21,23,31,32,34,41,42,43,45,51,52,53,54,56,61,62,63,64,65,
67,71,72,73,74,75,76,78,81,82,83,84,85,86,87,89,91,92,93,94,
95,96,97,98,99,101,110,111,112,121,122,123,131,132,141,142,
151,152,161,162,171,172,181,182,191,192,201,202,210,211,
212,213,214,215,216,217,218,219,220,221,222,223,231,232,
233,234,241,242,243,251,252,253,261,262,263,271,272,273,
281,282,283,291,292,293,301,302,303,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,
329,330,331,332,333,334,341,342,343,344,345,351,352,353,
354,361,362,363,364,371,372,373,374,381,382,383,384,391,
392,393,394

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