|
| |
|
|
A144412
|
|
Invert transform of odd non-prime gaps adjusted to be from the set {2,1,0,-1}: b(n)=A067970(n)/2-2; a(n)=Sum[b(n + 1)*a(n - k), {k, 1, n}].
|
|
0
|
|
|
|
2, 2, 4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Except for the first five elements,
the inverse transform result seems to be zero.
|
|
|
LINKS
|
Table of n, a(n) for n=1..101.
|
|
|
FORMULA
|
b(n)=A067970(n)/2-2; a(n)=Sum[b(n + 1)*a(n - k), {k, 1, n}].
|
|
|
MATHEMATICA
|
b = Flatten[Table[If[PrimeQ[2*n + 1], {}, 2*n + 1], {n, 0, 200}]]; c = Table[(b[[n + 1]] - b[[n]])/2 - 2, {n, 1, Length[b] - 1}]; a[0] = c[[1]]; a[n_] := a[n] = Sum[c[[n + 1]]*a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 100}]
|
|
|
CROSSREFS
|
Cf. A067970, A001906.
Sequence in context: A030207 A061006 A080736 * A113750 A004565 A068449
Adjacent sequences: A144409 A144410 A144411 * A144413 A144414 A144415
|
|
|
KEYWORD
|
uned,sign
|
|
|
AUTHOR
|
Roger L. Bagula and Gary W. Adamson, Sep 30 2008
|
|
|
STATUS
|
approved
|
| |
|
|
