A033862 -id:A033862 - cp's OEIS frontend

A070196 a(n) = n plus the sorted version of the base-10 digits of n.

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 11, 22, 24, 26, 28, 30, 32, 34, 36, 38, 22, 33, 44, 46, 48, 50, 52, 54, 56, 58, 33, 44, 55, 66, 68, 70, 72, 74, 76, 78, 44, 55, 66, 77, 88, 90, 92, 94, 96, 98, 55, 66, 77, 88, 99, 110, 112, 114, 116, 118, 66, 77, 88, 99, 110, 121, 132, 134

Offset: 0

Eric W. Weisstein, Apr 27 2002

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Sort-Then-Add Sequence

Cf. A033862.

Cf. A004185, A033860 (iterated, starting with 1).

a070196 n = n + a004185 n  -- Reinhard Zumkeller, Apr 03 2015

a:= n-> n+parse(cat(sort(convert(n, base, 10))[])):
seq(a(n), n=0..67);  # Alois P. Heinz, Jan 15 2024

Table[n+FromDigits[Sort[IntegerDigits[n]]],{n,0,70}] (* Harvey P. Dale, Feb 08 2020 *)

def a(n): return n + int("".join(sorted(str(n))))
print([a(n) for n in range(68)]) # Michael S. Branicky, Jan 15 2024

a(n) = n + A004185(n). - Reinhard Zumkeller, Apr 03 2015

Zero prepended and offset changed by Reinhard Zumkeller, Apr 03 2015

A033861 Sort-then-add sequence: a(1) = 316, a(n+1) = a(n) + sort(a(n)).

Original entry on oeis.org

316, 452, 697, 1376, 2743, 5090, 5149, 6608, 7276, 9953, 13552, 25907, 28486, 53174, 66631, 80297, 83086, 86774, 133552, 256907, 282586, 508274, 532852, 756410, 770977, 848756, 1305544, 1439999, 2789998, 5578997, 11156896

Offset: 1

David W. Wilson

316 is almost certainly the least starter not leading to a sorted element.

			a(1) = 316, a(2) = a(1)+sort(a(1)) = 316 + 136 = 452, a(3) = a(2) + sort(a(2)) = 452 + 245 = 697. - _Indranil Ghosh_, Jan 29 2017

Indranil Ghosh, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Sort-Then-Add Sequence.

Cf. A033860, A033862, A033863.

NestList[#+FromDigits[Sort[IntegerDigits[#]]]&,316,40] (* Harvey P. Dale, Jan 28 2013 *)

A033861_list = [316]
for i in range(100):
    x = A033861_list[-1]
    A033861_list.append(x+int(''.join(sorted(str(x))))) # Chai Wah Wu, Feb 07 2020

cp's OEIS Frontend

A070196 a(n) = n plus the sorted version of the base-10 digits of n.

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