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

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Last modified January 23 14:31 EST 2022. Contains 350512 sequences. (Running on oeis4.)