A286548 -id:A286548

Search: a286548 -id:a286548

Displaying 1-2 of 2 results found.

page 1

A286549

Restricted growth sequence of A286548 (A003188(n) - n).

+20
3

1, 1, 2, 3, 4, 4, 3, 5, 6, 6, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 14, 7, 16, 16, 5, 10, 17, 17, 18, 19, 20, 20, 21, 22, 23, 23, 22, 24, 25, 25, 26, 27, 28, 28, 29, 13, 30, 30, 11, 31, 32, 32, 31, 33, 34, 34, 35, 36, 37, 37, 38, 39, 40, 40, 41, 42, 43, 43, 42, 44, 45, 45, 46, 47, 48, 48, 49, 50, 51, 51, 52, 53, 54, 54, 53, 46, 55, 55, 44, 49, 56, 56, 27

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..65535

PROG

(PARI)

rgs_transform(invec) = { my(occurrences = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(occurrences, invec[i]), my(pp = mapget(occurrences, invec[i])); outvec[i] = outvec[pp] , mapput(occurrences, invec[i], i); outvec[i] = u; u++ )); outvec; };

write_to_bfile(start_offset, vec, bfilename) = { for(n=1, length(vec), write(bfilename, (n+start_offset)-1, " ", vec[n])); }

A003188(n) = bitxor(n, n>>1);

A286548(n) = (A003188(n)-n);

write_to_bfile(0, rgs_transform(vector(65536, n, A286548(n-1))), "b286549.txt");

CROSSREFS

Cf. A003188, A286547, A286548.

KEYWORD

nonn

AUTHOR

Antti Karttunen, May 18 2017

STATUS

approved

A286546

a(n) = A006068(n) - n.

+10
3

0, 0, 1, -1, 3, 1, -2, -2, 7, 5, 2, 2, -4, -4, -3, -5, 15, 13, 10, 10, 4, 4, 5, 3, -8, -8, -7, -9, -5, -7, -10, -10, 31, 29, 26, 26, 20, 20, 21, 19, 8, 8, 9, 7, 11, 9, 6, 6, -16, -16, -15, -17, -13, -15, -18, -18, -9, -11, -14, -14, -20, -20, -19, -21, 63, 61, 58, 58, 52, 52, 53, 51, 40, 40, 41, 39, 43, 41, 38, 38

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,5

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..16383

Index entries for sequences related to binary expansion of n

FORMULA

a(n) = A006068(n) - n.

a(n) = -A286548(A006068(n)). - Antti Karttunen, Oct 02 2017

PROG

(Scheme) (define (A286546 n) (- (A006068 n) n))

(Python)

def A286546(n):

k, m = n, n>>1

while m > 0:

k ^= m

m >>= 1

return k-n # Chai Wah Wu, Jun 30 2022