OFFSET
1
LINKS
EXAMPLE
-------------------------------------------------------------
. | Compositions of k
. |
n a(n) A228354 | k = 1 2 3 4 5
-------------------------------------------------------------
.
1 1 1 1 1+1 1+1+1 1+1+1+1 1+1+1+1+1
2 1 2 2 2+1 2+1+1 2+1+1+1
3 0 1+2 1+2+1 1+2+1+1
4 1 4 3 3+1 3+1+1
5 0 1+1+2 1+1+2+1
6 1 6 2+2 2+2+1
7 0 1+3 1+3+1
8 1 8 4 4+1
9 0 1+1+1+2
10 0 2+1+2
11 0 1+2+2
12 1 12 3+2
13 0 1+1+3
14 0 2+3
15 0 1+4
16 1 16 5
...
Note that removing the compositions of k in colexicographic order that are associated to the zeros of this sequence so we have the partitions of k in the same order.
PROG
(PARI)
isA194602(n) = if(!n, 1, if(!(n%2), 0, my(prl=0, rl=0); while(n, if(0==(n%2), if((prl && rl>prl)||0==(n%4), return(0)); prl=rl; rl=0, rl++); n >>= 1); ((0==prl)||(rl<=prl)))); \\ See A194602.
A326956(n) = isA194602(n-1); \\ Antti Karttunen, Dec 06 2021
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Sep 14 2019
EXTENSIONS
Data section extended up to 120 terms by Antti Karttunen, Dec 06 2021
STATUS
approved