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A182460 a(n) = (3/5)*2^(4n+1) - (1/5). 1
1, 19, 307, 4915, 78643, 1258291, 20132659, 322122547, 5153960755, 82463372083, 1319413953331, 21110623253299, 337769972052787, 5404319552844595, 86469112845513523, 1383505805528216371, 22136092888451461939, 354177486215223391027, 5666839779443574256435, 90669436471097188102963, 1450710983537555009647411 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Bisection of A112627. Terms 1,5,9,13...4*n+1 of A016129. Even terms in the Odd bisection of A153893 divided by 5.

LINKS

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

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

FORMULA

a(n)=(3/5)*2^(4*n+1) - (1/5).

a(n)=16*a(n-1) + 3 where a(0)=1.

a(n)=(1/5)*A153893(4*n+1) n=0,1,2...

a(n)=A016129(4*n+1) n=0,1,2,...

a(n)=A112627(2*n) n=0,1,2,...

G.f.: (1+2*x)/((1-x)*(1-16*x)). - Colin Barker, May 06 2012

MATHEMATICA

(3*2^(4*Range[0, 20]+1)-1)/5 (* or *) LinearRecurrence[{17, -16}, {1, 19}, 30] (* Harvey P. Dale, Jul 21 2021 *)

PROG

(MAGMA) [(3/5)*2^(4*n+1) - (1/5): n in [0..20]];

CROSSREFS

Cf. A112627, A016129, A153893.

Sequence in context: A324359 A074460 A267010 * A032631 A142430 A180845

Adjacent sequences:  A182457 A182458 A182459 * A182461 A182462 A182463

KEYWORD

nonn,easy

AUTHOR

Brad Clardy, Apr 30 2012

STATUS

approved

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Last modified September 21 16:31 EDT 2021. Contains 347598 sequences. (Running on oeis4.)