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A072259 ((6n+37)*4^n-1)/3. 4
12, 57, 261, 1173, 5205, 22869, 99669, 431445, 1856853, 7951701, 33903957, 144004437, 609572181, 2572506453, 10826896725, 45455070549, 190410216789, 796000605525, 3321441375573, 13835521316181, 57541108520277, 238960527103317, 991026480502101 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Related to Collatz function (for n>0). All divisible by 3.

LINKS

Table of n, a(n) for n=0..22.

Index entries for linear recurrences with constant coefficients, signature (9,-24,16).

FORMULA

G.f.: 3*(4-17*x+12*x^2)/((1-x)*(1-4*x)^2). - Bruno Berselli, Dec 16 2011

MATHEMATICA

LinearRecurrence[{9, -24, 16}, {12, 57, 261}, 30] (* Harvey P. Dale, Mar 10 2018 *)

PROG

(PARI) a(n)=((6*n+37)*4^n-1)/3 \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Cf. A072257, A072258, A072260.

Sequence in context: A212065 A121693 A190297 * A272233 A283164 A242983

Adjacent sequences:  A072256 A072257 A072258 * A072260 A072261 A072262

KEYWORD

nonn,easy

AUTHOR

N. Rathankar (rathankar(AT)yahoo.com), Jul 08 2002

EXTENSIONS

Edited and extended by Henry Bottomley, Aug 06 2002

More terms from Harvey P. Dale, Mar 10 2018

STATUS

approved

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Last modified August 18 18:19 EDT 2018. Contains 313834 sequences. (Running on oeis4.)