A140698 This sequence needs a meaningful name.

1, 0, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 0, -1, 1, -1, -2, 0, 0, -1, 1, 1, 1, 1, 0, 0, -1, 1, -1, 1, 1, 0, 0, 0, -1, 1, 1, -2, -2, 0, 0, 0, 0, -1, 1, -1, 1, 0, 1, 0, 0, 0, 0, -1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 1

Offset

1,17

Links

Table of n, a(n) for n=1..66.

Example

{1},
{0, 1},
{1, -1, 1},
{-1, 1, -1, 1},
{1, 1, 0, -1, 1},
{-1, -2, 0, 0, -1, 1},
{1, 1, 1, 0, 0, -1, 1},
{-1, 1, 1, 0, 0, 0, -1, 1},
{1, -2, -2, 0, 0, 0, 0, -1, 1},
{-1, 1, 0, 1, 0, 0, 0, 0, -1, 1},
{1, 1, 0, 1, 0, 0, 0, 0, 0, -1, 1}
...

Mathematica

p[x_, n_] = (x^Prime[n] + x^(Prime[n] - 1) + 1)/Cyclotomic[Prime[n], x];
a = Table[CoefficientList[Normal[Series[p[x, n], {x, 0, 30}]], x], {n, 31}];
(* antidiagonal triangular sequence representation *)
b = Table[a[[m, n - m + 1]], {n, 11}, {m, n}]; Flatten[b]

Crossrefs

Sequence in context: A037844 A037880 A241035 * A231599 A333290 A321924

Adjacent sequences: A140695 A140696 A140697 * A140699 A140700 A140701

Keyword

uned,tabl,sign,less

Author

Roger L. Bagula and Gary W. Adamson, Jul 11 2008

Status

approved