A333248 - OEIS

%I #35 Mar 28 2020 10:32:47

%S -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,

%T 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,

%U 0,0,0,0,1,0,1,0,0,0,-1,0,-1,0,0,0

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

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

%C Read by rows:

%C [-1]

%C [1, -1]

%C [1, -1, 0]

%C [1, 0, -1, 0]

%C [1, -1, 0, 0, 0]

%C [1, 1, 0, -1, -1, 0]

%C [1, -1, 0, 0, 0, 0, 0]

%C [1, 0, 0, 0, -1, 0, 0, 0]

%C [1, 0, 0, -1, 0, 0, 0, 0, 0]

%C [1, 1, 0, 0, 0, -1, -1, 0, 0, 0]

%C etc.

%H <a href="/A333248/b333248.txt">First 128 rows, flattened</a>

%H <a href="/A333248/a333248.txt">First 512 rows, not flattened</a>

%H <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>

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

%Y See A291137 and A306453 for other versions.

%Y Cf. A013595, A013596.

%Y 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).

%K sign,tabl

%O 1

%A Submitted on Mar 13 2020