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URL: https://oeis.org/A002749

⇱ A002749 - OEIS

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A002749
Sum of logarithmic numbers.
2
1, 1, 1, 11, -7, 389, -1031, 19039, -24431, 1023497, -4044079, 225738611, -1711460279, 29974303501, 4656373513, 3798866053319, -34131041040991, 2131052083901969, -23678368533941471, 832900320313739227, -4752766287768240359, 148482851420849206421
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: A383046 A298438 A262866 * A055505 A159526 A090841
KEYWORD
sign
EXTENSIONS
Corrected and extended by Jeffrey Shallit
STATUS
approved