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.

A330141 Triangle read by rows: binomial transform of triangle A330140.

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%I A330141 #11 Jan 07 2020 01:43:49
%S A330141 1,1,1,1,2,2,1,3,7,4,1,4,17,20,9,1,5,36,65,60,21,1,6,72,176,249,176,
%T A330141 51,1,7,141,434,833,889,518,127,1,8,275,1016,2470,3528,3094,1520,323,
%U A330141 1,9,538,2307,6795,12150,14232,10494,4461,835
%N A330141 Triangle read by rows: binomial transform of triangle A330140.
%C A330141 Row sums = the binomial transform of the Catalan numbers, A007317.
%C A330141 Right border = the Motzkin numbers, A001006.
%e A330141 First few rows of the triangle are:
%e A330141   1;
%e A330141   1,   1;
%e A330141   1,   2,   2;
%e A330141   1,   3,   7,   4;
%e A330141   1,   4,  17,  20,   9;
%e A330141   1,   5,  36,  65,  60,  21;
%e A330141   1,   6,  72, 176, 249, 176,  51;
%e A330141   1,   7, 141, 434, 833, 889, 518, 127;
%e A330141   ...
%Y A330141 Cf. A330140, A007317, A007318, A001006.
%K A330141 nonn,tabl
%O A330141 0,5
%A A330141 _Gary W. Adamson_, Dec 02 2019