|
Search: id:A115963
|
|
|
| A115963 |
|
Numerator of Sum[i=1..n] 1/p(i)^3, p(i) = i-th prime. |
|
+0
3
|
|
| 1, 35, 4591, 1601713, 2141141003, 4716413174591, 23198819007792583, 159253748925534977797, 1938552948676080555065099, 47290471293028435532185602511, 1409101231790431848106470385672201
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Denominators = A115964. See also: A024451 Numerator of Sum 1/prime(i), i=1..n. A002110 Primorial [denominator of Numerator of Sum 1/prime(i), i=1..n]. A061015 Numerator of Sum_{i=1..n} 1/p(i)^2, p(i) = i-th prime.
|
|
FORMULA
|
a(n) = Numerator of Sum[i=1..n] 1/A000040(i)^3.
|
|
EXAMPLE
|
1/8, 35/216, 4591/27000, 1601713/9261000, 2141141003/12326391000, 4716413174591/27081081027000.
|
|
CROSSREFS
|
Cf. A000040, A075986/A075987, A106830/A034386.
Sequence in context: A130005 A001825 A094187 this_sequence A025036 A030261 A007102
Adjacent sequences: A115960 A115961 A115962 this_sequence A115964 A115965 A115966
|
|
KEYWORD
|
easy,frac,nonn
|
|
AUTHOR
|
Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 14 2006
|
|
|
Search completed in 0.002 seconds
|
