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A036965 Record values of the product of the exponents in the prime factorization of highly powerful numbers (A005934). 2
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 (list; graph; refs; listen; history; text; internal format)
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: A281943 A120003 A333223 * 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

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Last modified April 8 14:52 EDT 2020. Contains 333314 sequences. (Running on oeis4.)