A182305 a(n+1) = a(n) + floor(a(n)/4) with a(0)=4.

4, 5, 6, 7, 8, 10, 12, 15, 18, 22, 27, 33, 41, 51, 63, 78, 97, 121, 151, 188, 235, 293, 366, 457, 571, 713, 891, 1113, 1391, 1738, 2172, 2715, 3393, 4241, 5301, 6626, 8282, 10352, 12940, 16175, 20218, 25272, 31590, 39487

Offset

0,1

Links

Table of n, a(n) for n=0..43.

Example

a(8) = a(7)+floor(a(7)/4) = 15 + 3 = 18.

Mathematica

NestList[#+Floor[#/4]&, 4, 50] (* Harvey P. Dale, Oct 06 2020 *)

Prog

(Python)
a=4
for i in range(55):
   print(a, end=', ')
   a += a//4
(Python)
from itertools import islice
def A182305_gen(): # generator of terms
    a = 4
    while True:
        yield a
        a += a>>2
A182305_list = list(islice(A182305_gen(), 30)) # Chai Wah Wu, Sep 21 2022

Crossrefs

Cf. A061418, A100585.

Sequence in context: A343916 A367187 A121541 * A023373 A078778 A037356

Adjacent sequences: A182302 A182303 A182304 * A182306 A182307 A182308

Keyword

nonn

Author

Alex Ratushnyak, Apr 23 2012

Status

approved