A002751 Sum of logarithmic numbers.

1, 3, 9, 37, 153, 951, 5473, 42729, 353937, 3455083, 30071001, 426685293, 4707929449, 59350096287, 882391484913, 15177204356401, 205119866263713, 4040196156574419, 64262949875511337, 1408785031894483893, 29514546353782633401, 593055713389216814983

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

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]
• Index entries for sequences related to logarithmic numbers

Programs

Maple

[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

Formula

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

Extensions

More terms from Jeffrey Shallit