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.
%I A352087 #9 Mar 05 2022 04:02:20 %S A352087 0,1,3,5,8,14,18,23,25,36,40,45,52,62,71,78,82,102,110,128,148,150, %T A352087 163,181,198,211,229,233,246,264,275,312,326,360,397,411,426,463,477, %U A352087 505,529,562,593,617,650,658,682,715,746,770,781,805,838,869,893,926,928 %N A352087 Numbers whose minimal (or greedy) tribonacci representation (A278038) is palindromic. %C A352087 A000073(n) + 1 is a term for n>=4, since its minimal tribonacci representation is 10...01 with n-4 0's between the two 1's. %H A352087 Amiram Eldar, <a href="/A352087/b352087.txt">Table of n, a(n) for n = 1..10000</a> %e A352087 The first 10 terms are: %e A352087 n a(n) A278038(a(n)) %e A352087 ----------------------- %e A352087 1 0 0 %e A352087 2 1 1 %e A352087 3 3 11 %e A352087 4 5 101 %e A352087 5 8 1001 %e A352087 6 14 10001 %e A352087 7 18 10101 %e A352087 8 23 11011 %e A352087 9 25 100001 %e A352087 10 36 101101 %t A352087 t[1] = 1; t[2] = 2; t[3] = 4; t[n_] := t[n] = t[n - 1] + t[n - 2] + t[n - 3]; q[n_] := Module[{s = {}, m = n, k}, While[m > 0, k = 1; While[t[k] <= m, k++]; k--; AppendTo[s, k]; m -= t[k]; k = 1]; PalindromeQ[FromDigits @ IntegerDigits[Total[2^(s - 1)], 2]]]; Select[Range[0, 1000], q] %Y A352087 Cf. A000073, A278038. %Y A352087 Similar sequences: A002113, A006995, A014190, A094202, A331191, A351712, A351717. %K A352087 nonn,base %O A352087 1,3 %A A352087 _Amiram Eldar_, Mar 04 2022