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Search: id:A085629
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| A085629 |
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Let b(n)=product of exponents of prime factorization of n. Sequence gives least k such that b(k)=n. |
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+0
3
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| 1, 4, 8, 16, 32, 64, 128, 144, 216, 288, 2048, 432, 8192, 1152, 864, 1296, 131072, 1728, 524288, 2592, 3456, 18432, 8388608, 5184, 7776, 73728, 13824, 10368, 536870912, 15552, 2147483648, 20736, 55296, 1179648, 31104, 41472, 137438953472, 4718592
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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PROGRAM
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(PARI) f(n, i) = local(d, best, p, x); p = prime(i); best = p^n; d = divisors(n); for (j = 2, length(d) - 1, x = d[j]; best = min(best, p^x*f(n/x, i + 1))); best; a(n) = f(n, 1) (Wasserman)
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CROSSREFS
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Cf. A005361, A005934.
Cf. A005179.
Sequence in context: A108569 A111073 A005934 this_sequence A046055 A020707 A151821
Adjacent sequences: A085626 A085627 A085628 this_sequence A085630 A085631 A085632
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KEYWORD
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nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jul 10 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 07 2005
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