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.

A365257 The five digits of a(n) and their four successive absolute first differences are all distinct.

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%I A365257 #18 Sep 03 2023 10:48:11
%S A365257 14928,15829,17958,18259,18694,18695,19372,19375,19627,25917,27391,
%T A365257 27398,28149,28749,28947,34928,35917,37289,37916,38926,39157,39578,
%U A365257 43829,45829,47289,47916,49318,49681,49687,51869,53719,57391,57398,58926,59318,59681,59687,61973,61974,62983,62985,67958,68149,68749,68947,69157,69578,71952,71953,72691,72698,74619,74982,74986,75193,75196,76859,78259,78694,78695,81394,81395,81539,82941,82943,85179,85629,85971,85976,86749,87269,87593,87596,89372,89375,89627,91647,91735,92658,92834,92851,92854,93518,94182,94186,94768,94782,94786,95281,95287,95867,96278,96815,97158,98273,98274
%N A365257 The five digits of a(n) and their four successive absolute first differences are all distinct.
%C A365257 The digit 0 is never present in a(n) and never appears as a first difference (as this would duplicate in both cases one of the 8 remaining digits involved).
%C A365257 The sequence ends with a(96) = 98274.
%C A365257 The only prime numbers with this property are 39157, 49681, 51869, 53719, 62983, 68749, 68947, 75193, 78259, 89627 and 95287.
%e A365257 The five digits of a(1) = 14928 produce the four successive absolute first differences 3 (= 1 - 4), 5 (= 4 - 9), 7 (= 9 - 2) and 6 (= 2 - 8), resulting in nine distinct digits.
%e A365257 .1.4.9.2.8.
%e A365257 ..3.5.7.6..
%t A365257 Select[Range[10000,99999],Sort@Join[IntegerDigits@#, Abs@Differences@IntegerDigits@#]==Range@9&]
%Y A365257 Cf. A365258, A100787, A040114, A270263.
%K A365257 base,nonn,fini,full
%O A365257 1,1
%A A365257 _Eric Angelini_ and _Giorgos Kalogeropoulos_, Aug 29 2023