A373470 First differences of A043555 = number of runs in base-3 representation of n.

0, 0, 1, -1, 1, 0, 0, -1, 1, 1, 0, -1, -1, 1, 1, 0, -1, 0, 1, 0, 0, -1, 1, -1, 0, -1, 1, 1, 0, 1, -1, 1, 0, 0, -1, -1, 1, 0, -1, -1, 1, 1, 0, -1, 1, 1, 0, 0, -1, 1, -1, 0, -1, 0, 1, 0, 1, -1, 1, 0, 0, -1, 0, 1, 0, -1, -1, 1, 1, 0, -1, -1, 1, 0, 0, -1, 1, -1, 0, -1, 1, 1, 0, 1, -1, 1, 0, 0, -1, 1, 1, 0, -1, -1, 1, 1, 0, -1, 0, 1

Offset

0

Links

Table of n, a(n) for n=0..99.

Brad Klee, A new space-filling dragon curve theorem, on community.wolfram.com/groups, Jul 10, 2024

Maple

b:= n-> `if`(n<3, 1, b(iquo(n, 3))+`if`(n mod 9 in {0, 4, 8}, 0, 1)):
a:= n-> b(n+1)-b(n):
seq(a(n), n=0..99);  # Alois P. Heinz, Jul 14 2024

Prog

(PARI) A373470(n)=A043555(n+1)-A043555(n) /* with {A043555(n)=my(d=digits(n, 3)); sum(i=2, #d, d[i]!=d[i-1])+1} */

Crossrefs

Cf. A043555, A297770.

Sequence in context: A287790 A285159 A073089 * A373141 A323158 A011657

Adjacent sequences: A373467 A373468 A373469 * A373472 A373473 A373474

Keyword

sign,base,less,new

Author

M. F. Hasler, Jul 13 2024

Status

approved