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A147595 a(n) is the number whose binary representation is A138144(n). 5
1, 3, 7, 15, 27, 51, 99, 195, 387, 771, 1539, 3075, 6147, 12291, 24579, 49155, 98307, 196611, 393219, 786435, 1572867, 3145731, 6291459, 12582915, 25165827, 50331651, 100663299, 201326595, 402653187, 805306371, 1610612739, 3221225475 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (3,-2).

FORMULA

a(n) = A060013(n+2), n > 3. [R. J. Mathar, Feb 05 2010]

a(n+4) = 3*(2^(n+2) + 1), n >= 0. - Brad Clardy, Apr 03 2013

a(n) = 3*(4+2^n)/4 for n>3. a(n) = 3*a(n-1)-2*a(n-2). G.f.: -x*(2*x^2-1)*(2*x^2+1) / ((x-1)*(2*x-1)). - Colin Barker, Sep 15 2013

MATHEMATICA

LinearRecurrence[{3, -2}, {1, 3, 7, 15, 27}, 40] (* Harvey P. Dale, Nov 30 2020 *)

PROG

(PARI) Vec(-x*(2*x^2-1)*(2*x^2+1)/((x-1)*(2*x-1)) + O(x^100)) \\ Colin Barker, Sep 15 2013

CROSSREFS

Cf. A138144, A145641, A147537, A147538, A147539, A147540, A147590, A147596, A147597.

Sequence in context: A274008 A146742 A146425 * A147127 A146726 A146228

Adjacent sequences:  A147592 A147593 A147594 * A147596 A147597 A147598

KEYWORD

base,easy,nonn

AUTHOR

Omar E. Pol, Nov 08 2008

EXTENSIONS

Extended by R. J. Mathar, Feb 05 2010

STATUS

approved

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Last modified April 20 20:26 EDT 2021. Contains 343137 sequences. (Running on oeis4.)