A002751 Sum of logarithmic numbers. (Formerly M2821 N1135)

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

Offset

0,2

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

Table of n, a(n) for n=0..21.

J. M. Gandhi, On logarithmic numbers, Math. Student, 31 (1963), 73-83. [Annotated scanned copy]

Index entries for sequences related to logarithmic numbers

Formula

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

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

Crossrefs

Sequence in context: A149022 A134818 A321737 * A358397 A245890 A119856

Adjacent sequences: A002748 A002749 A002750 * A002752 A002753 A002754

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Jeffrey Shallit

Status

approved