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 A267759 Numbers of the form 10k+u where 0 <= u <= 9 and k has a digit > u or a digit 1 followed by a digit < u. 1
 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50, 51, 52, 53, 54, 60, 61, 62, 63, 64, 65, 70, 71, 72, 73, 74, 75, 76, 80, 81, 82, 83, 84, 85, 86, 87, 90, 91, 92, 93, 94, 95, 96, 97, 98, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 145 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This is the range of A268449, which is the main motivation for registering this sequence in the OEIS. LINKS MATHEMATICA Select[Range[10, 150], Last@ #2 > First@ #1 || If[Length@ #2 >= 2, And[#2[[-2]] == 1, Last@ #2 < First@ #1]] & @@ TakeDrop[IntegerDigits@ #, -1] &] (* Version 10.2, or *) Select[Range@ 150, If[Length@ # < 2, False, #[[-2]] > Last@ # || If[Length@ # >= 3, And[#[[-3]] == 1, #[[-2]] < Last@ #]]] &@ IntegerDigits@ # &] (* Michael De Vlieger, Feb 05 2016 *) PROG (PARI) is_A267759(n)=vecmax(n=digits(n))>n[#n] || sum(i=1, #n-2, n[i]==1 && n[i+1]

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Last modified January 18 19:32 EST 2020. Contains 331029 sequences. (Running on oeis4.)