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A085627 Number of divisors of n-th highly powerful number. +0
1
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; listen)
OFFSET

1,2

COMMENT

a(54) = 560 is the first term that is less than the preceding term. - David Wasserman (wasserma(AT)spawar.navy.mil), Feb 03 2005

PROGRAM

(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)", ")))}

CROSSREFS

Cf. A005934.

Sequence in context: A044951 A138308 A039084 this_sequence A057825 A082464 A037349

Adjacent sequences: A085624 A085625 A085626 this_sequence A085628 A085629 A085630

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jul 10 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 03 2005

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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