|
Search: id:A079288
|
|
| |
| |
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Sum_{n>0} 1/a(n) = 0.1666694223985890... or about 1/6. This is evident since 1/3! =0.166666666666.. 1/9! =0.0000027557319223985.. 1/27!=0.00000000000000000000000000091836898637955461.. for example shows that succeeding terms have little enfluence on the first term 1/6. A000722 has the same property of about 1/2 but it is not evident since in 1/2! + 1/4! + 1/8! 1/4! and 1/8! have an imediate effect on the first term 1/2. So the limit of sum(1/(x^n)!) -> 1/x! as x,n -> oo
|
|
PROGRAM
|
(PARI) atonfact(a, n) = {sr=0; for(x=1, n, y =(a^x)!; \-((a-1)^x)!; sr+=1.0/y; print1(y" "); ); print(); print(sr) } usage: ? atonfact(3, n) n=1, 2, ..
|
|
CROSSREFS
|
Sequence in context: A076909 A112642 A067503 this_sequence A072234 A115476 A116272
Adjacent sequences: A079285 A079286 A079287 this_sequence A079289 A079290 A079291
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Cino Hilliard (hillcino368(AT)gmail.com), Feb 08 2003
|
|
EXTENSIONS
|
Next term is too large to include.
|
|
|
Search completed in 0.002 seconds
|
