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A050054 a(n) = a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 4. 4
1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 22, 26, 31, 38, 46, 56, 70, 71, 73, 77, 82, 89, 97, 107, 121, 140, 160, 182, 208, 239, 277, 323, 379, 380, 382, 386, 391, 398, 406, 416, 430, 449, 469, 491, 517, 548, 586, 632 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Ivan Neretin, Table of n, a(n) for n = 1..8193

MAPLE

a := proc(n) option remember;

     `if`(n < 4, [1, 2, 4][n], a(n - 1) + a(-2^ceil(-1+log[2](n - 1)) + n - 1)):

     end proc:

seq(a(n), n = 1..40); # Petros Hadjicostas, Nov 18 2019

MATHEMATICA

Fold[Append[#1, #1[[-1]] + #1[[#2]]] &, {1, 2, 4}, Flatten@Table[k, {n, 5}, {k, 2^n}]] (* Ivan Neretin, Sep 08 2015 *)

CROSSREFS

Cf. similar sequences with different initial conditions listed in A050034.

Sequence in context: A108513 A029749 A018519 * A018371 A127964 A269929

Adjacent sequences:  A050051 A050052 A050053 * A050055 A050056 A050057

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Name edited by Petros Hadjicostas, Nov 18 2019

STATUS

approved

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Last modified December 10 04:15 EST 2019. Contains 329885 sequences. (Running on oeis4.)