1,1

3 is the least nontrivial operand because 1 agg-op-n 1 = 1 for n > 1 and 2 agg-op-n 2 = 4.

John H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, p. 60.

Rick Norwood, Math. Bite: Why 2 + 2 = 2 * 2, Mathematics Magazine, Vol. 71 (1998), p. 60.

Stephen R. Wassell, Superexponentiation and Fixed Points of Exponential and Logarithmic Functions, Mathematics Magazine, Vol. 73 (2000), pp. 111-119.

Walter Nissen, Home Page (listed in lieu of email address)

3 agg-op-2 3 = 3 * 3 = 9; 3 agg-op-4 3 = 3^^3 = 3^(3^3) = 7625597484987.

Sequence in context: A024878 A007414 A025493 this_sequence A091519 A086491 A147415

Adjacent sequences: A054868 A054869 A054870 this_sequence A054872 A054873 A054874

nonn

Walter Nissen May 28 2000