|
Search: id:A103914
|
|
| |
|
| 9, 203, 10767, 46061, 475793, 6668731, 13845629, 91598867, 266769639, 435522233, 1078275557, 3609658883, 10468384561, 14540796059, 36461681717, 64117563369, 83947073543, 180056219381, 289521339853, 564930693271, 1283176845407
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
The two a(n) formulae, given below, produce natural numbers for all n>=0.
|
|
FORMULA
|
a(n)=-A103728(n+5, 9)=-(1 -(p(n+5)-1)*binomial(p(n+5)-1, 9))/p(n+5), with p(n):=A000040(n) (n-th prime).
a(n)= -(1389456 - 2199276*p(n+5) + 1896380*p(n+5)^2 - 993005*p(n+5)^3 + 332598*p(n+5)^4 - 72723*p(n+5)^5 + 10320*p(n+5)^6 - 915*p(n+5)^7 + 46*p(n+5)^8 - p(n+5)^9)/9! = -sum(A103718(k, m)*p(n+5)^m, m=0..9)/9!.
|
|
CROSSREFS
|
Cf. A103735 (k=8).
Sequence in context: A012133 A012038 A012108 this_sequence A001535 A122399 A109587
Adjacent sequences: A103911 A103912 A103913 this_sequence A103915 A103916 A103917
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Feb 24 2005
|
|
|
Search completed in 0.002 seconds
|
