

A131639


Numbers n such that the sum of all numbers formed by deleting one digit from n is equal to n.


0



1729404, 1800000, 13758846, 13800000, 14358846, 14400000, 15000000, 28758846, 28800000, 29358846, 29400000, 1107488889, 1107489042, 1111088889, 1111089042, 3277800000, 3281400000, 4388888889, 4388889042, 4392488889, 4392489042, 4500000000
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS

Table of n, a(n) for n=1..22.


FORMULA

For a number with n digits there are n substrings generated by removing one digit from the original number. So for 12345, these are 2345, 1345, 1245, 1235, 1234. Sum(x) is defined as the sum of this substrings for a number x and the sequence above is those numbers so that sum(x) = x.


EXAMPLE

First term is 1729404 because sum(1729404) = 729404 + 129404 + 179404 + 172404 + 172904 + 172944 + 172940 = 1729404


CROSSREFS

Cf. A093882.
Sequence in context: A157858 A157862 A186586 * A187139 A185844 A234130
Adjacent sequences: A131636 A131637 A131638 * A131640 A131641 A131642


KEYWORD

base,easy,nonn


AUTHOR

Jon Ayres (jonathan.ayres(AT)ntlworld), Sep 05 2007


EXTENSIONS

a(12)a(22) from Donovan Johnson, Jan 16 2011


STATUS

approved



