A036965 Record values of the product of the exponents in the prime factorization of highly powerful numbers (A005934).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 16, 18, 20, 21, 24, 25, 28, 30, 32, 35, 36, 40, 42, 45, 48, 50, 54, 56, 60, 63, 64, 72, 75, 84, 90, 96, 105, 108, 112, 120, 126, 128, 135, 140, 144, 150, 160, 162, 168, 180, 192, 200, 210, 216, 220, 224, 225, 240, 252, 256, 270

Offset: 1

Author

N. J. A. Sloane

Keywords

• easy
• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..609 (terms 1..300 from T. D. Noe)
• G. E. Hardy and M. V. Subbarao, Highly powerful numbers, Congress. Numer., Vol. 37 (1983), pp. 277-307. (Annotated scanned copy)

Crossrefs

Cf. A005361, A005934, A085629.

Programs

Mathematica

Union@ FoldList[Max, Array[Times @@ FactorInteger[#][[All, -1]] &, 10^7]] (* Michael De Vlieger, Oct 15 2017 *)

Formula

a(n) = A005361(A005934(n)). - Amiram Eldar, May 13 2019

Extensions

Reference gives an extensive table.

More terms from Naohiro Nomoto, Jul 25 2001