A326307 a(n) is the index of n in the ordered list of the numbers with the same digits as n.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2

Offset

0,22

Comments

Ordinal transform of A328447.

Links

David A. Corneth, Table of n, a(n) for n = 0..9999

David A. Corneth, PARI program

Formula

a(A179239(n)) = 1.

a(10+n) = A007953(9*n)/9 (A007953 = sum of digits) for 0 < n < 91, but a(101) = 1 while A007953(9*91)/9 = 2. - M. F. Hasler, May 19 2021

Example

a(321) = 6 as 321 is the sixth number made of the digits [1, 2, 3]. The five smaller numbers having these digits are 123, 132, 213, 231, 312.

Prog

(PARI) see Corneth link
(PARI) { o = vector(100); for (n=0, 87, print1 (o[1+fromdigits(vecsort(digits(n, base=10), , 4), base)]++ ", ")) } \\ Rémy Sigrist, Oct 17 2019
(PARI) A326307(n, D=Vecsmall(digits(n)), c=1)={forperm(vecsort(D), d, d==D&&break; d[1]&&c++); c} \\ M. F. Hasler, May 19 2021

Crossrefs

Cf. A179239, A254524, A328447.

Sequence in context: A167852 A184340 A083911 * A343639 A095827 A193582

Adjacent sequences: A326304 A326305 A326306 * A326308 A326309 A326310

Keyword

nonn,base,easy,look

Author

David A. Corneth, Oct 17 2019

Extensions

Edited by N. J. A. Sloane, Oct 24 2019

Status

approved