A263019 If n is the i-th positive integer with digital sum j, then a(n) is the j-th positive integer with digital sum i.

1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 2, 11, 20, 101, 110, 200, 1001, 1010, 1100, 1000000000, 12, 21, 30, 102, 111, 120, 201, 210, 2000, 10000000000, 22, 31, 40, 103, 112, 121, 130, 300, 10001, 100000000000, 32, 41, 50, 104, 113, 122

Offset

1,2

Comments

Digital sum is given by A007953.

This is a self-inverse permutation of the natural numbers, with fixed points A081927.

A007953(n) = A081927(a(n)) for any n>0.

A081927(n) = A007953(a(n)) for any n>0.

a(A051885(n)) = 10^(n-1) for any n>0.

a(10^(n-1)) = A051885(n) for any n>0.

Links

Paul Tek, Table of n, a(n) for n = 1..10000

Paul Tek, PERL program for this sequence

Prog

(PARI) a(n) = {j = sumdigits(n); v = vector(n, k, sumdigits(k)); i = #select(x->x==j, v); nb = 0; k = 0; while(nb != j, k++; if (sumdigits(k) == i, nb++)); k; } \\ Michel Marcus, Oct 16 2015

Crossrefs

Cf. A007953, A051885, A081927, A254524, A263018.

Sequence in context: A029800 A232662 A168070 * A100061 A125858 A086067

Adjacent sequences: A263016 A263017 A263018 * A263020 A263021 A263022

Keyword

nonn,base

Author

Paul Tek, Oct 07 2015

Status

approved