%I #9 Mar 04 2021 09:42:17
%S 0,9,10,11,15,20,23,30,31,36,40,48,50,52,57,60,61,70,73,78,80,86,89,
%T 90,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
%U 115,119,120,121,122,123,124,125,126,127,128,130,131,135
%N Numbers m such that m + (m+1) = 2m + 1 shares at least one digit with m+1.
%C The terms come frequently in runs of consecutive integers. In particular, all intervals [10^k-1, ..., 10^k+(10^k-1)/9], k >= 1, e.g., {9, 10, 11}, {99, 100, ..., 111}, {999, ..., 1111}, ..., are subsequences. For k > 1, the actual intervals are strictly larger than that, to the left: instead of 1, one can subtract 5*(10^(k-1)-1)/9.
%C A342145 contains this as a subsequence.
%o (PARI) select( is_A342147(n)=#setintersect(Set(digits(n+1)),Set(digits(2*n+1))), [0..199])
%Y Cf. A342145, A342146 (variants: 2n+1 shares a digit with {n,n+1} resp. n).
%Y Cf. A002275 (repunits: (10^n-1)/9), A005408 (odd numbers: 2n+1).
%K nonn,base
%O 1,2
%A _M. F. Hasler_, Mar 01 2021