The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A049964 a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n-1 <= 2^(p+1), with a(1) = 1, a(2) = 3, and a(3) = 1. 9
 1, 3, 1, 6, 12, 24, 48, 107, 250, 453, 906, 1823, 3682, 7566, 15788, 34352, 80810, 145833, 291666, 583343, 1166722, 2333646, 4667948, 9338672, 18689450, 37443922, 75098700, 151072456, 305646138, 625313778, 1307036806, 2844621050, 6690632768, 12074228731, 24148457462, 48296914935, 96593829906 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA a(n) = a(2*n - 3 - 2^ceiling(log_2(n-1))) + Sum_{i = 1..n-1} a(i) = a(A006257(n-2)) + Sum_{i = 1..n-1} a(i) for n >= 4 with a(1) = 1, a(2) = 3, and a(3) = 1. - Petros Hadjicostas, Sep 24 2019 EXAMPLE From Petros Hadjicostas, Sep 24 2019: (Start) a(4) = a(1) + a(2) + a(3) + a(m=1) = 1 + 3 + 1 + 1 = 6 because m = A006257(4-2) = 2*4 - 3 - 2^ceiling(log_2(4-1)) = 1. a(5) = a(1) + a(2) + a(3) + a(4) + a(m=3) = 1 + 3 + 1 + 6 + 1 = 12 because m = A006257(5-2) = 2*5 - 3 - 2^ceiling(log_2(5-1)) = 3. a(6) = a(1) + a(2) + a(3) + a(4) + a(5) + a(m=1) = 1 + 3 + 1 + 6 + 12 + 1 = 24 because m = A006257(6-2) = 2*6 - 3 - 2^ceiling(log_2(6-1)) = 1. (End) MAPLE a := proc(n) option remember; if n<4 then return [1, 3, 1][n] fi; add(a(i), i=1..n-1) + a(2*(n-2) - Bits:-Iff(n-2, n-2)) end: seq(a(n), n=1..37); # Petros Hadjicostas, Sep 24 2019, courtesy of Peter Luschny CROSSREFS Cf. A006257, A049939, A049940, A049960. Sequence in context: A064282 A267849 A087644 * A143984 A051124 A193091 Adjacent sequences:  A049961 A049962 A049963 * A049965 A049966 A049967 KEYWORD nonn AUTHOR EXTENSIONS Name edited by and more terms from Petros Hadjicostas, Sep 23 2019 STATUS approved

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

Last modified April 16 07:59 EDT 2021. Contains 343030 sequences. (Running on oeis4.)