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A174316 Sequence defined by a(0)=a(1)=a(2)=1, a(3)=2, a(4)=6 and the formula a(n)=2^(n-2)+2 for n>=5. 1
1, 1, 1, 2, 6, 10, 18, 34, 66, 130, 258, 514, 1026, 2050, 4098, 8194, 16386, 32770, 65538, 131074, 262146, 524290, 1048578, 2097154, 4194306, 8388610, 16777218, 33554434, 67108866, 134217730, 268435458, 536870914, 1073741826, 2147483650 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..33.

FORMULA

G.f f: f(z)=(1+z+z^2+2*z^3+6*z^4+((2*z^5)/(1-z))+((2*z)^5/(4*(1-2*z))))

a(n) = A052548(n-2), n>3 . - R. J. Mathar, Feb 29 2016

EXAMPLE

a(5)=2^3+2=10. a(6)=2^4+2=18.

MAPLE

taylor(((1+z^3+4*z^4-4*z^5)/(1-z))+((8*z^5)/(1-2*z)), z=0, 50); v(0):=1:v(1):=1:v(2):=1:v(3):=2:v(4):=6: for n from 5 to 50 do v(n):=2^(n-2)+2:od:seq(v(n), n=0..50);

CROSSREFS

Cf. A174314.

Sequence in context: A328960 A282428 A077626 * A095357 A095358 A084481

Adjacent sequences:  A174313 A174314 A174315 * A174317 A174318 A174319

KEYWORD

nonn,easy

AUTHOR

Richard Choulet, Mar 15 2010

STATUS

approved

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Last modified May 7 16:00 EDT 2021. Contains 343652 sequences. (Running on oeis4.)