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

14928, 15829, 17958, 18259, 18694, 18695, 19372, 19375, 19627, 25917, 27391, 27398, 28149, 28749, 28947, 34928, 35917, 37289, 37916, 38926, 39157, 39578, 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

Offset

1,1

Comments

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).

The sequence ends with a(96) = 98274.

The only prime numbers with this property are 39157, 49681, 51869, 53719, 62983, 68749, 68947, 75193, 78259, 89627 and 95287.

Links

Table of n, a(n) for n=1..96.

Example

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.
.1.4.9.2.8.
..3.5.7.6..

Mathematica

Select[Range[10000, 99999], Sort@Join[IntegerDigits@#, Abs@Differences@IntegerDigits@#]==Range@9&]

Crossrefs

Cf. A365258, A100787, A040114, A270263.

Sequence in context: A186901 A185486 A031815 * A235236 A203404 A236352

Adjacent sequences: A365254 A365255 A365256 * A365258 A365259 A365260

Keyword

base,nonn,fini,full

Author

Eric Angelini and Giorgos Kalogeropoulos, Aug 29 2023

Status

approved