cp's OEIS Frontend

A285695 Numbers such that the path described in Comments visits all digits once and ends in the position before the first digit.

%I A285695 #8 Apr 30 2017 23:14:41
%S A285695 0,31202,110140,312122,1101106,1131404,3121124,3131226,5111424,
%T A285695 5120200,5300402,5320004,11011162,11034000,11112160,11314142,13030060,
%U A285695 15014020,31211144,31232200,31312164,33000160,33202120,33230240,35010260,35212220,51034202,51114144
%N A285695 Numbers such that the path described in Comments visits all digits once and ends in the position before the first digit.
%C A285695 Let d(1..k) be the digits in the number and let i = 1. If d(i) is odd set i = i+d(i)+1 else i = i-d(i)-1. The number is a term if i reaches 0.
%H A285695 Lars Blomberg, <a href="/A285695/b285695.txt">Table of n, a(n) for n = 1..10000</a>
%F A285695 Except for 0, numbers must start with 1, 3, 5, 7, 9 and end with 0, 2, 4, 6, 8.
%F A285695 Let eSum = Sum_{i=1..k, d(i) is even} d(i)+1, and oSum = Sum_{i=1..k, d(i) is odd} d(i)+1. Then eSum-oSum-1 = 0.
%e A285695 For 31202 the digit positions visited are 1, 5, 2, 4, 3, 0(outside to the left) so 31202 is a term.
%Y A285695 Cf. A284591, A285471, A285696.
%K A285695 nonn,base
%O A285695 1,2
%A A285695 _Lars Blomberg_ and _Eric Angelini_, Apr 25 2017