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A002749 Sum of logarithmic numbers.
(Formerly M4767 N2037)
2
1, 1, 1, 11, -7, 389, -1031, 19039, -24431, 1023497, -4044079, 225738611, -1711460279, 29974303501, 4656373513, 3798866053319, -34131041040991, 2131052083901969, -23678368533941471, 832900320313739227, -4752766287768240359, 148482851420849206421 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
REFERENCES
J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83. [Annotated scanned copy]
FORMULA
E.g.f.: F(x)/exp(x)/x where F(x) is o.g.f. for A000005(). - Vladeta Jovovic, Feb 09 2003
MAPLE
A002749 := proc(r)
add(A260324(n, r), n=1..r+1) ;
end proc:
seq(A002749(r), r=0..25) ; # R. J. Mathar, Jul 24 2015
MATHEMATICA
m = 22;
F[x_] = Sum[DivisorSigma[0, n] x^n , {n, 1, m}];
CoefficientList[F[x]/(x E^x) + O[x]^m, x] Range[0, m-1]! (* Jean-François Alcover, Mar 30 2020 *)
CROSSREFS
Sequence in context: A355299 A298438 A262866 * A055505 A159526 A090841
KEYWORD
sign
AUTHOR
EXTENSIONS
Corrected and extended by Jeffrey Shallit
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)