login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A062188 a(n+1) = a(n) + a(floor(n/2)), with a(0)=0, a(1)=1. 4
0, 1, 1, 2, 3, 4, 5, 7, 9, 12, 15, 19, 23, 28, 33, 40, 47, 56, 65, 77, 89, 104, 119, 138, 157, 180, 203, 231, 259, 292, 325, 365, 405, 452, 499, 555, 611, 676, 741, 818, 895, 984, 1073, 1177, 1281, 1400, 1519, 1657, 1795, 1952, 2109, 2289, 2469, 2672, 2875, 3106 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Ivan Neretin, Table of n, a(n) for n = 0..10000

FORMULA

G.f. A(x) satisfies: A(x) = x * (1 + (1 + x)*A(x^2))/(1 - x). - Ilya Gutkovskiy, May 04 2019

EXAMPLE

a(6) = a(5)+a(2) = 4+1 = 5.

a(7) = a(6)+a(3) = 5+2 = 7.

MATHEMATICA

Join[{0}, Nest[Append[#, #[[-1]] + #[[Quotient[Length@#, 2]]]] &, {1, 1}, 53]] (* Ivan Neretin, Mar 03 2016 *)

PROG

(MAGMA) [n le 2 select n-1 else  Self(n-1)+Self(Floor(n/2)): n in [1..60]]; // Vincenzo Librandi, Mar 03 2016

CROSSREFS

Cf. A033485, A062186, A062187.

Sequence in context: A304632 A306385 A039853 * A122129 A280909 A003413

Adjacent sequences:  A062185 A062186 A062187 * A062189 A062190 A062191

KEYWORD

nonn

AUTHOR

Henry Bottomley, Jun 13 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 17 23:07 EDT 2022. Contains 353779 sequences. (Running on oeis4.)