cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A365258 The four digits of a(n), their three successive absolute first differences and their two successive absolute second differences are all distinct.

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%I A365258 #23 Nov 23 2023 11:25:52
%S A365258 2983,3892,4197,4917,5298,5928,7194,7398,7914,7938,8139,8295,8329,
%T A365258 8397,8925,8937,9238,9318
%N A365258 The four digits of a(n), their three successive absolute first differences and their two successive absolute second differences are all distinct.
%C A365258 The digit 0 is never present in a(n) and never appears as a first or a second difference (as this would duplicate in both cases one of the 8 remaining digits involved).
%C A365258 The sequence ends with a(18) = 9318.
%e A365258 2983 is a term since its three successive absolute first differences 7 (= 2 - 9), 1 (= 9 - 8), 5 (= 8 - 3) and the successive absolute second differences 6 (= 7 - 1) and 4 (= 1 - 5), are nine distinct digits.
%e A365258   2 9 8 3
%e A365258    7 1 5
%e A365258     6 4
%t A365258 Select[Range[1000,9999],Sort@Join[IntegerDigits@#, s=Abs@Differences@IntegerDigits@#, Abs@Differences@s]==Range@9&]
%Y A365258 Cf. A365257, A100787, A040114, A270263.
%K A365258 base,nonn,fini,full
%O A365258 1,1
%A A365258 _Eric Angelini_ and _Giorgos Kalogeropoulos_, Aug 29 2023