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.

A346795 Irregular triangle T(n, k), n > 0, k = 1..A091220(n), read by rows; the n-th row gives, in ascending order, the distinct integers k such that A048720(k, m) = n for some m.

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%I A346795 #22 Oct 09 2021 06:30:34
%S A346795 1,1,2,1,3,1,2,4,1,3,5,1,2,3,6,1,7,1,2,4,8,1,3,7,9,1,2,3,5,6,10,1,11,
%T A346795 1,2,3,4,6,12,1,13,1,2,7,14,1,3,5,15,1,2,4,8,16,1,3,5,15,17,1,2,3,6,7,
%U A346795 9,14,18,1,19,1,2,3,4,5,6,10,12,20,1,7,21
%N A346795 Irregular triangle T(n, k), n > 0, k = 1..A091220(n), read by rows; the n-th row gives, in ascending order, the distinct integers k such that A048720(k, m) = n for some m.
%C A346795 The n-th row corresponds to the divisors of the n-th GF(2)[X]-polynomial.
%C A346795 The greatest value both in the n-th row and in the k-th row corresponds to A091255(n, k).
%C A346795 The index of the first row containing both n and k corresponds to A091256(n, k).
%H A346795 Rémy Sigrist, <a href="/A346795/b346795.txt">Table of n, a(n) for n = 1..9228</a> (first 1024 rows flattened)
%H A346795 Rémy Sigrist, <a href="/A346795/a346795.gp.txt">PARI program for A346795</a>
%H A346795 <a href="/index/Ge#GF2X">Index entries for sequences operating on GF(2)[X]-polynomials</a>
%F A346795 T(n, 1) = 1.
%F A346795 T(n, A091220(n)) = n.
%F A346795 Sum_{k = 1..A091220(n)} T(n, k) = A280493(n).
%F A346795 T(n, 1) XOR ... XOR T(n, A091220(n)) = A178908(n) (where XOR denotes the bitwise XOR operator).
%e A346795 The triangle starts:
%e A346795       1:   [1]
%e A346795       2:   [1, 2]
%e A346795       3:   [1, 3]
%e A346795       4:   [1, 2, 4]
%e A346795       5:   [1, 3, 5]
%e A346795       6:   [1, 2, 3, 6]
%e A346795       7:   [1, 7]
%e A346795       8:   [1, 2, 4, 8]
%e A346795       9:   [1, 3, 7, 9]
%e A346795      10:   [1, 2, 3, 5, 6, 10]
%e A346795      11:   [1, 11]
%e A346795      12:   [1, 2, 3, 4, 6, 12]
%e A346795      13:   [1, 13]
%e A346795      14:   [1, 2, 7, 14]
%e A346795      15:   [1, 3, 5, 15]
%o A346795 (PARI) See Links section.
%Y A346795 Cf. A048720, A091220, A091255, A091256, A091257, A178908, A280493, A348135.
%K A346795 nonn,tabf
%O A346795 1,3
%A A346795 _Rémy Sigrist_, Sep 29 2021