|
| |
|
|
A181722
|
|
Numerator of (1/n - Bernoulli number A164555(n)/A027642(n)).
|
|
1
|
|
|
|
0, 0, 1, 1, 7, 1, 5, 1, 13, 1, 1, 1, 901, 1, -11, 1, 3647, 1, -43825, 1, 1222387, 1, -854507, 1, 1181821001, 1, -76977925, 1, 23749461059, 1, -8615841275543, 1, 28267510484519, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,5
|
|
|
COMMENTS
|
An autosequence is a sequence whose inverse binomial transform is the sequence signed. In integers, the oldest example is Fibonacci A000045. In fractions, A164555/A027642 is the son of 1/n via the Akiyama-Tanigawa algorithm; grandson is (A174110/A174111) = 1/2,2/3,1/2,2/15,... ; see A164020. See A174341/A174342. All are from the same family.
|
|
|
LINKS
|
Table of n, a(n) for n=1..34.
|
|
|
EXAMPLE
|
Fractions are 0, 0, 1/6, 1/4, 7/30, 1/6, 5/42, 1/8, 13/90, 1/10, 1/66, 1/12, 901/2730, ...
|
|
|
CROSSREFS
|
Sequence in context: A117182 A143301 A225459 * A021587 A195496 A065479
Adjacent sequences: A181719 A181720 A181721 * A181723 A181724 A181725
|
|
|
KEYWORD
|
sign,frac
|
|
|
AUTHOR
|
Paul Curtz, Nov 17 2010
|
|
|
STATUS
|
approved
|
| |
|
|
