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.

A379927 Replacing each term of this sequence S with its digitsum produces a new sequence S' such that S and S' share the same succession of nonzero digits.

This page as a plain text file.
%I A379927 #7 Jan 09 2025 08:48:18
%S A379927 1,2,3,4,5,6,7,8,9,10,19,18,28,17,11,26,37,16,29,20,15,12,25,46,24,
%T A379927 101,27,110,55,14,39,200,23,13,33,299,22,38,389,34,47,32,41,59,21,36,
%U A379927 398,479,30,49,102,111,488,45,54,497,569,120,35,201,44,63,210,31
%N A379927 Replacing each term of this sequence S with its digitsum produces a new sequence S' such that S and S' share the same succession of nonzero digits.
%C A379927 The sequence starts with a(1) = 1 and is always extended with the smallest integer not yet present that doesn't lead to a contradiction.
%C A379927 This sequence is a variant of A302656 ignoring zeros; this feature prevents the huge jumps seen in A302656.
%H A379927 Rémy Sigrist, <a href="/A379927/b379927.txt">Table of n, a(n) for n = 1..10000</a>
%H A379927 Rémy Sigrist, <a href="/A379927/a379927.gp.txt">PARI program</a>
%e A379927 The first terms are:
%e A379927     1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 19, 18, 28, 17, 11, 26, 37, 16, 29, 20
%e A379927 The corresponding digitsums are:
%e A379927     1, 2, 3, 4, 5, 6, 7, 8, 9, 1,  10, 9,  10, 8,  2,  8,  10, 7,  11, 2
%e A379927 Keeping only the nonzero digits we obtain:
%e A379927     12345678911918281711263716292
%e A379927 and 123456789119182817112.
%o A379927 (PARI) \\ See Links section.
%Y A379927 Cf. A004719, A302656.
%K A379927 nonn,base
%O A379927 1,2
%A A379927 _Rémy Sigrist_, Jan 06 2025