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.

A193592 Triangle read by rows having n-th row 1, n, n-1, n-2,..., 2, 1 for n>=0.

This page as a plain text file.
%I A193592 #18 Jun 12 2025 21:37:45
%S A193592 1,1,1,1,2,1,1,3,2,1,1,4,3,2,1,1,5,4,3,2,1,1,6,5,4,3,2,1,1,7,6,5,4,3,
%T A193592 2,1,1,8,7,6,5,4,3,2,1,1,9,8,7,6,5,4,3,2,1,1,10,9,8,7,6,5,4,3,2,1,1,
%U A193592 11,10,9,8,7,6,5,4,3,2,1,1,12,11,10,9,8,7,6,5,4,3,2,1
%N A193592 Triangle read by rows having n-th row 1, n, n-1, n-2,..., 2, 1 for n>=0.
%C A193592 The triangle with its first column removed is A004736. - _Hartmut F. W. Hoft_, Jun 05 2017
%e A193592 Triangle begins:
%e A193592   1
%e A193592   1   1
%e A193592   1   2   1
%e A193592   1   3   2   1
%e A193592   1   4   3   2   1
%t A193592 a193592[n_] := Map[Prepend[Range[#, 1, -1], 1]&, Range[0, n]]
%t A193592 Flatten[a193592[12]] (* data *)
%t A193592 TableForm[a193592[4]] (* triangle *) (* _Hartmut F. W. Hoft_, Jun 05 2017 *)
%Y A193592 Cf. A193593, A004736.
%K A193592 nonn,tabl
%O A193592 0,5
%A A193592 _Clark Kimberling_, Jul 31 2011
%E A193592 Corrected and added more terms by _Hartmut F. W. Hoft_, Jun 05 2017