A229853 384*n + 1.

1, 385, 769, 1153, 1537, 1921, 2305, 2689, 3073, 3457, 3841, 4225, 4609, 4993, 5377, 5761, 6145, 6529, 6913, 7297, 7681, 8065, 8449, 8833, 9217, 9601, 9985, 10369, 10753, 11137, 11521, 11905, 12289, 12673, 13057, 13441, 13825, 14209, 14593, 14977, 15361

Offset

0,2

Comments

Every composite Fermat number has a divisor of the form 384*n + 1, n > 0.

Links

Arkadiusz Wesolowski, Table of n, a(n) for n = 0..1000

Wikipedia, Fermat number

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

G.f.: (1 + 383*x)/(1 - x)^2.

Maple

seq(384*n+1, n=0..40);

Mathematica

Table[384*n + 1, {n, 0, 40}]

Prog

(Magma) [384*n+1 : n in [0..40]]
(PARI) for(n=0, 40, print1(384*n+1, ", "));

Crossrefs

Cf. A000215, A094358, A229854-A229856.

Sequence in context: A069043 A013591 A152941 * A317272 A157354 A200525

Adjacent sequences: A229850 A229851 A229852 * A229854 A229855 A229856

Keyword

nonn,easy

Author

Arkadiusz Wesolowski, Oct 01 2013

Status

approved