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A085627
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Number of divisors of n-th highly powerful number.
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0
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1, 3, 4, 5, 6, 7, 8, 15, 16, 18, 20, 24, 25, 28, 30, 32, 35, 36, 40, 42, 45, 48, 50, 54, 96, 96, 105, 108, 112, 120, 120, 128, 135, 140, 144, 160, 168, 180, 192, 200, 200, 216, 224, 225, 240, 240, 252, 270, 280, 280, 300, 315, 576, 560, 600, 576, 648, 640, 675, 672
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(54) = 560 is the first term that is less than the preceding term. - David Wasserman (wasserma(AT)spawar.navy.mil), Feb 03 2005
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PROG
| (PARI) {prdex(n)=local(s, fac); s=1; fac=factor(n); for(k=1, matsize(fac)[1], s=s*fac[k, 2]); return(s)} {dhp(m)=local(rec); rec=0; for(n=1, m, if(prdex(n)>rec, rec=prdex(n); print1(numdiv(n)", ")))}
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CROSSREFS
| Cf. A005934.
Sequence in context: A044951 A138308 A039084 * A057825 A082464 A037349
Adjacent sequences: A085624 A085625 A085626 * A085628 A085629 A085630
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KEYWORD
| nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Jul 10 2003
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 03 2005
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