A133504 Numbers that set records in A133500.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 16, 32, 64, 128, 256, 512, 729, 2187, 6561, 19683, 65536, 262144, 390625, 1953125, 10077696, 40353607, 134217728, 387420489, 402653184, 536870912, 671088640, 805306368, 939524096, 1073741824, 1207959552, 1549681956, 1937102445

Offset: 1

Author

J. H. Conway and N. J. A. Sloane, Dec 03 2007

Keywords

• nonn

Examples

			Factored forms are 0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2^4, 2^5, 2^6, 2^7, 2^8, 2^9, 3^6, 3^7, 3^8, 3^9, 2^16, 2^18, 5^8, 5^9, 2^9*3^9, 7^9, 2^27, 3^18, 2^27*3, 2^29, 2^27*5, 2^28*3, 2^27*7, 2^30, 2^27*3^2, 2^2*3^18, 3^18*5,
2*3^19, 3^18*7, 2^3*3^18, 3^20, 2^4*3^18, 2^5*3^18, 2^6*3^18, 2^7*3^18, 2^8*3^18, 2^9*3^18, 3^24, 2^27*3^7, 3^25, 2^27*3^8, 3^26, 2^27*3^9, 3^27, 2^43, 2^16*3^18, 2^45, 2^18*3^18, 3^18*5^8, 2^27*5^9, ...
		

Links

• N. J. A. Sloane, Table of n, a(n) for n = 1..81

Crossrefs

Cf. A133500, A133505.

Programs

Maple

M:=100000; t1:=[]; t2:=[]; rec:=-1; for n from 0 to M do m:=powertrain(n); if m > rec then rec:=m; t1:=[op(t1),m]; t2:=[op(t2),n]; fi; od: lprint(t1); lprint(t2);