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Sum of logarithmic numbers.
(Formerly M2821 N1135)
1

%I M2821 N1135 #27 Oct 20 2023 09:40:35

%S 1,3,9,37,153,951,5473,42729,353937,3455083,30071001,426685293,

%T 4707929449,59350096287,882391484913,15177204356401,205119866263713,

%U 4040196156574419,64262949875511337,1408785031894483893,29514546353782633401,593055713389216814983

%N Sum of logarithmic numbers.

%D J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H J. M. Gandhi, <a href="/A002741/a002741.pdf">On logarithmic numbers</a>, Math. Student, 31 (1963), 73-83. [Annotated scanned copy]

%H <a href="/index/Lo#logarithmic">Index entries for sequences related to logarithmic numbers</a>

%F E.g.f.: F(x)/x*exp(x) where F(x) is o.g.f. for A000005(). - _Vladeta Jovovic_, Feb 09 2003

%p [seq(numtheory[tau](n),n=0..40)] ;gfun[listtoseries](%,x,'ogf') ; %/x*exp(x) ; taylor(%,x=0,40) ; eg := gfun[seriestolist](%,'ogf') ; seq( op(i,eg)*(i-1)!, i=1..nops(eg)) ; # _R. J. Mathar_, Jul 08 2011

%K nonn

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Jeffrey Shallit_