The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A341758 Table T(n,x) = e_n(x), the Grzegorczyk hierarchy function, read by antidiagonals. 0
 0, 1, 2, 2, 3, 2, 3, 6, 6, 2, 4, 11, 38, 38, 2, 5, 18, 1446 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The function is defined by: e_0(x,y) = x + y; e_1(x) = x^2 + 2; e_n(0) = 2; e_{n+1}(x+1) = e_n( e_{n+1}(x) ); Here we ignore the variable y so in this case: e_0(x) = x; The next two terms are T(4, 1) = T(3, 2) = e_3(2) = (e_1)^38(x) which is a number between 2^(2^38) and 2^(2^39), and is too large to display. LINKS Wikipedia, Grzegorczyk hierarchy FORMULA e_{n+1}(x) = (e_n)^x(2). EXAMPLE Table T(n,x) = e_n(x): n\x |  0     1     2     3     4     5    6    … ----+------------------------------------------------------------------    0|  0     1     2     3     4     5    6    … (A001477)    1|  2     3     6    11    18    27    …      (A059100)    2|  2     6    38  1446     …                 (A072191)    3|  2    38     …    4|  2     … CROSSREFS Cf. A001477, A059100, A072191. Sequence in context: A106245 A129568 A177892 * A236433 A117122 A122828 Adjacent sequences:  A341755 A341756 A341757 * A341759 A341760 A341761 KEYWORD nonn,tabl AUTHOR Natan Arie Consigli, Feb 19 2021 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 19 03:31 EDT 2021. Contains 347550 sequences. (Running on oeis4.)