|
| |
|
|
A103732
|
|
Negative of column k=5 sequence of array A103728.
|
|
0
| |
|
|
5, 229, 731, 4111, 8117, 25189, 94891, 137909, 366803, 641959, 830885, 1341589, 2549923, 4504453, 5371979, 8803541, 11932549, 13799879, 20843861, 26956597, 38735575, 60493919, 74542099, 82483013, 100393765, 110446523, 132966511
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| The two a(n) formulae, given below, produce natural numbers for all n>=0.
|
|
|
FORMULA
| a(n)=-A103728(n+4, 5)=-(1 -(p(n+4)-1)*binomial(p(n+4)-1, 5))/p(n+4), with p(n):=A000040(n) (n-th prime).
a(n)= -(394 - 499*p(n+4) + 310*p(n+4)^2 - 100*p(n+4)^3 + 16*p(n+4)^4 - p(n+4)^5)/5! = -sum(A103718(k, m)*p(n+4)^m, m=0..5)/5!.
|
|
|
CROSSREFS
| Sequence in context: A201491 A181584 A002142 * A065757 A157776 A147540
Adjacent sequences: A103729 A103730 A103731 * A103733 A103734 A103735
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Feb 24 2005
|
| |
|
|
