STATUS
reviewed
approved
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Revision History for A074468
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Least number m such that the Sigma-Harmonic sequence Sum_{k=1..m} 1/sigma(k) >= n.
(history; published version)
(history; published version)
STATUS
proposed
reviewed
STATUS
editing
proposed
STATUS
editing
proposed
KEYWORD
more,nonn,more,changed
STATUS
proposed
editing
STATUS
editing
proposed
NAME
Least number m such that the Sigma-Harmonic sequence, Sum_{k=1..m} 1/sigma(k) >= n.
NAME
Subscript Least number m such that the Sigma-Harmonic sequence, ssi[m]=Sum[_{k=1..m} 1/sigma[k],{(k,1,m}] ) >= n.
DATA
1, 7, 29, 129, 571, 2525, 11167, 49372, 218295, 965177, 4267457, 18868240, 83424514, 368855252, 1630865929, 7210751807, 31881800153
REFERENCES
J.Jean-M. Marie De Koninck, Ces nombres qui nous fascinent, Entry 129, p. 44, Ellipses, Paris , 2008.
FORMULA
Limit_{n->oo} a(n+1)/a(n) = exp(1/c) = 4.42142525588146107878... where c = A308039. - Amiram Eldar, May 05 2024
EXTENSIONS
a(16)-a(17) from Amiram Eldar, May 05 2024
STATUS
approved
editing
AUTHOR
_Labos E. (labos(AT)ana.sote.hu), Elemer_, Aug 29 2002