A333248 Triangle read by rows: Row n is the periodic part of the inverse of the n-th cyclotomic polynomial.

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

Offset

1

Comments

The period length of the inverse of the n-th cyclotomic polynomial is n.

Read by rows:

[-1]

[1, -1]

[1, -1, 0]

[1, 0, -1, 0]

[1, -1, 0, 0, 0]

[1, 1, 0, -1, -1, 0]

[1, -1, 0, 0, 0, 0, 0]

[1, 0, 0, 0, -1, 0, 0, 0]

[1, 0, 0, -1, 0, 0, 0, 0, 0]

[1, 1, 0, 0, 0, -1, -1, 0, 0, 0]

etc.

Links

First 128 rows, flattened

First 512 rows, not flattened

Index to sequences related to inverse of cyclotomic polynomials

Prog

(PARI) row(n)=Vec(1/polcyclo(n)+O(x^n))

Crossrefs

See A291137 and A306453 for other versions.

Cf. A013595, A013596.

The inverse of the n-th cyclotomic polynomial: A033999 (2), A049347 (3), A056594 (4), A010891 (5), A010892 (6), A014016 (7) - A014045 (36), A240328 (37), A014047 (38) - A014049 (40), A240329 (41), A014051 (42), A240330 (43), A014053 (44) - A014055 (46), A240331 (47), A014057 (48), A240332 (49), A014059 (50) - A014061 (52), A240348 (53), A014063 (54) - A014067 (58), A240349 (59), A014069 (60), A240350 (61), A014071 (62), A014072 (63), A240351 (64).

Sequence in context: A355937 A345950 A122895 * A114592 A344864 A140653

Adjacent sequences: A333245 A333246 A333247 * A333249 A333250 A333251

Keyword

sign,tabl

Author

Submitted on Mar 13 2020

Status

approved