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

1,2

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)

Formula

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

Mathematica

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

Crossrefs

Cf. A005361, A005934, A085629.

Sequence in context: A353852 A333223 A334967 * A133184 A102576 A101170

Adjacent sequences: A036962 A036963 A036964 * A036966 A036967 A036968

Keyword

easy,nonn

Author

N. J. A. Sloane.

Extensions

Reference gives an extensive table.

More terms from Naohiro Nomoto, Jul 25 2001

Status

approved