A276802 Non-repdigit numbers n such that A045876(n) ends with n.

554, 3328, 55553, 77764, 222221, 444442, 666663, 888865, 888884, 5555552, 6666595, 9999840, 33332680, 55555526, 66666557, 99998670, 333332176, 333333312, 555555551, 666665752, 666666624, 999997536, 999999936, 9999976480, 9999997844, 9999999668, 9999999923, 11111111110

Offset

1,1

Links

Table of n, a(n) for n=1..28.

David A. Corneth, Pari Program.

Example

554 is a term because 455+545+554 = 1554 that ends with 554.
2338 is the least term having its digits. For all permutations p of digits of n, in this case 2338, (without leading zeros if any), A045876(n) = A045876(p). A045876(2338) = 53328. It contains the digits of 2338 and ends with its digits permuted. 2338 has 4 digits, as has 53328 mod 10^4 so 53328 mod 10^4 == 3328 is a term. - David A. Corneth, Oct 04 2016

Prog

(PARI) A047726(n) = n=eval(Vec(Str(n))); (#n)!/prod(i=0, 9, sum(j=1, #n, n[j]==i)!);
A055642(n) = #Str(n);
A007953(n) = sumdigits(n);
A045876(n) = ((10^A055642(n)-1)/9)*(A047726(n)*A007953(n)/A055642(n));
isA010785(n) = {1==#Set(digits(n))}
is(n) = (A045876(n)-n) % 10^A055642(n) == 0 && !isA010785(n)

Crossrefs

Cf. A045876, A139819 (non-repdigits), A179239.

Sequence in context: A247531 A171428 A045046 * A205888 A186529 A274901

Adjacent sequences: A276799 A276800 A276801 * A276803 A276804 A276805

Keyword

nonn,base

Author

Altug Alkan, Sep 17 2016

Extensions

More terms from David A. Corneth, Oct 06 2016

Status

approved