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OFFSET
| 1,2
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COMMENTS
| 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
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PROG
| (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, ..
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CROSSREFS
| Sequence in context: A183765 A112642 A067503 * A072234 A172823 A182791
Adjacent sequences: A079285 A079286 A079287 * A079289 A079290 A079291
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KEYWORD
| easy,nonn
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AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Feb 08 2003
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EXTENSIONS
| Next term is too large to include.
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