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A089084 Numbers n such that abs ( (sum_m (m=1..n) d(m)) / n - log(n) - 2*gamma + 1) is a decreasing sequence, where d(m) is the number of divisors A000005(m) and gamma is Euler's constant A001620. 2
1, 2, 3, 5, 7, 11, 17, 19, 23, 47, 89, 125, 131, 203, 219, 455, 1475, 2867, 4649, 7291, 36893, 378878, 517914, 693028, 923373, 1835331, 3147909, 3356513, 3506524, 6782094, 20454813, 25494256, 27802807, 28081980, 47214722, 176344865 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

For references and links see A006218 and A089044.

LINKS

Hugo Pfoertner, Table of n, a(n) for n = 1..46

PROG

(PARI) s=0; r=2; for(k=1, 10^7, s=s+numdiv(k); t=abs(s/k-log(k)-2*Euler+1); if(abs(t)<r, print1(k, ", "); r=t)) \\ Hugo Pfoertner, Aug 30 2018

CROSSREFS

Cf. A000005, A001620, A006218, A089044.

Sequence in context: A302493 A188713 A280996 * A262835 A258261 A228424

Adjacent sequences:  A089081 A089082 A089083 * A089085 A089086 A089087

KEYWORD

nonn

AUTHOR

Hugo Pfoertner, Dec 04 2003

EXTENSIONS

Terms a(12) and beyond from Hans Havermann

STATUS

approved

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Last modified May 18 23:06 EDT 2021. Contains 344007 sequences. (Running on oeis4.)