A241955 a(n) = 2^(4*n+3) - 1.

7, 127, 2047, 32767, 524287, 8388607, 134217727, 2147483647, 34359738367, 549755813887, 8796093022207, 140737488355327, 2251799813685247, 36028797018963967, 576460752303423487, 9223372036854775807, 147573952589676412927, 2361183241434822606847, 37778931862957161709567

Offset

0,1

Links

Jens Kruse Andersen, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (17,-16).

Formula

a(n) = 2^(4*n+3) - 1 = A000225(4*n+3) = A013777(n) - 1 = 4*A241888(n) + 3.

Colin Barker, Aug 11 2014: (Start)

a(n) = 17*a(n-1) - 16*a(n-2).

G.f.: (8*x+7) / ((x-1)*(16*x-1)). (End)

Maple

A241955:=n->2^(4*n+3)-1: seq(A241955(n), n=0..20); # Wesley Ivan Hurt, Aug 15 2014

Mathematica

Table[2^(4n + 3) - 1, {n, 0, 29}]
2^(4 Range[0, 20] + 3) - 1 (* Wesley Ivan Hurt, Aug 15 2014 *)

Prog

(PARI) vector(40, n, 2^(4*n-1)-1) \\ Derek Orr, Aug 11 2014
(PARI) Vec((8*x+7)/((x-1)*(16*x-1)) + O(x^100)) \\ Colin Barker, Aug 11 2014
(Magma) [2^(4*n+3)-1 : n in [0..20]]; // Wesley Ivan Hurt, Aug 15 2014

Crossrefs

Cf. A000225, A004171, A013777.

Sequence in context: A064754 A267249 A025166 * A139291 A274673 A363870

Adjacent sequences: A241952 A241953 A241954 * A241956 A241957 A241958

Keyword

nonn,easy

Author

Wassan Letourneur, Aug 09 2014

Status

approved