A092241 Triangle read by rows: row n gives coefficients of (1+x+x^2)^n mod n.

0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 3, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 3, 2, 0, 0, 3, 0, 0, 2, 3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 4, 0, 2, 0, 0, 0, 3, 0, 0, 0, 2, 0, 4, 0, 1, 1, 0, 0, 3, 0, 0, 6, 0, 0, 7, 0, 0, 6, 0, 0, 3, 0, 0, 1

Offset

0,19

Links

Table of n, a(n) for n=0..99.

Example

Triangle begins:
[0]
[0, 0, 0]
[1, 0, 1, 0, 1]
[1, 0, 0, 1, 0, 0, 1]
[1, 0, 2, 0, 3, 0, 2, 0, 1]
[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]
[1, 0, 3, 2, 0, 0, 3, 0, 0, 2, 3, 0, 1]

Maple

f := n -> seriestolist( series( expand( (1+x+x^2)^n ) mod n, x, 2*n+1));

Crossrefs

Cf. A053200.

Sequence in context: A351964 A163496 A375519 * A336124 A256580 A213266

Adjacent sequences: A092238 A092239 A092240 * A092242 A092243 A092244

Keyword

nonn,tabf

Author

N. J. A. Sloane, Feb 20 2004

Status

approved