A253211 a(n) = 8^n + 7.

8, 15, 71, 519, 4103, 32775, 262151, 2097159, 16777223, 134217735, 1073741831, 8589934599, 68719476743, 549755813895, 4398046511111, 35184372088839, 281474976710663, 2251799813685255, 18014398509481991, 144115188075855879, 1152921504606846983

Offset

0,1

Comments

Subsequence of A226825.

Links

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (9,-8).

Formula

G.f.: (8 - 57*x)/((1 - x)*(1 - 8*x)).

a(n) = 9*a(n-1) - 8*a(n-2) for n>1.

Mathematica

Table[8^n + 7, {n, 0, 40}]
8^Range[0, 20]+7 (* or *) LinearRecurrence[{9, -8}, {8, 15}, 30] (* Harvey P. Dale, Feb 25 2024 *)

Prog

(Magma) [8^n+7: n in [0..30]];

Crossrefs

Cf. similar sequences listed in A253208.

Cf. A164786, A226825.

Sequence in context: A185038 A193490 A015442 * A275246 A177199 A177165

Adjacent sequences: A253208 A253209 A253210 * A253212 A253213 A253214

Keyword

nonn,easy

Author

Vincenzo Librandi, Dec 30 2014

Status

approved