A281481 a(n) = 2^(n - 1) * (2^n + 1) + 1.

2, 4, 11, 37, 137, 529, 2081, 8257, 32897, 131329, 524801, 2098177, 8390657, 33558529, 134225921, 536887297, 2147516417, 8590000129, 34359869441, 137439215617, 549756338177, 2199024304129, 8796095119361, 35184376283137, 140737496743937, 562949970198529

Offset

0,1

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7,-14,8).

Formula

From Colin Barker, Jan 22 2017: (Start)

a(n) = 7*a(n-1) - 14*a(n-2) + 8*a(n-3) for n>2.

G.f.: (2 - 10*x + 11*x^2) / ((1 - x)*(1 - 2*x)*(1 - 4*x)).

(End)

a(n) = A278930(n - 2) for n >= 7. - Georg Fischer, Mar 26 2019

Prog

(Magma) [2^(n - 1) * (2^n + 1) + 1: n in [0..200]]
(PARI) Vec((2 - 10*x + 11*x^2) / ((1 - x)*(1 - 2*x)*(1 - 4*x)) + O(x^30)) \\ Colin Barker, Jan 22 2017

Crossrefs

Similar sequences: A085601 (2^(n + 1) * (2^n + 1) + 1), A092431 (2^(n - 1) * (2^n + 1) - 1), A092440 (2^(n + 1) * (2^n - 1) + 1), A129868 (2^(n - 1) * (2^n - 1) - 1), A134169 (2^(n - 1) * (2^n - 1) + 1), A267816 (2^(n + 1) * (2^n - 1) - 1), A281482 (2^(n + 1) * (2^n + 1) - 1).

Cf. A278930.

Sequence in context: A328425 A174107 A253927 * A138301 A367495 A173939

Adjacent sequences: A281478 A281479 A281480 * A281482 A281483 A281484

Keyword

nonn,easy

Author

Jaroslav Krizek, Jan 22 2017

Status

approved