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.

A134247 A007318 * triangle by rows, n-th row = (n-1) zeros followed by T(n), 1.

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%I A134247 #6 Mar 25 2022 00:36:08
%S A134247 1,2,1,3,5,1,4,12,9,1,5,22,30,14,1,6,35,70,60,20,1,7,51,135,170,105,
%T A134247 27,1,8,70,231,385,350,168,35,1,9,92,364,756,910,644,252,44,1,10,117,
%U A134247 540,1344,2016,1890,1092,360,54,1
%N A134247 A007318 * triangle by rows, n-th row = (n-1) zeros followed by T(n), 1.
%C A134247 Row sums = A072863: (1, 3, 9, 26, 72, 192, 496, ...).
%F A134247 Binomial transform of an infinite lower triangular matrix having n-th row = (n-1) zeros followed by T(n), 1, where T(n) = n-th triangular number.
%e A134247 First few rows of the triangle:
%e A134247   1;
%e A134247   2,  1;
%e A134247   3,  5,   1;
%e A134247   4, 12,   9,   1;
%e A134247   5, 22,  30,  14,   1;
%e A134247   6, 35,  70,  60,  20,  1;
%e A134247   7, 51, 135, 170, 105, 27, 1;
%e A134247   ...
%Y A134247 Cf. A072863, A000217.
%K A134247 nonn,tabl
%O A134247 0,2
%A A134247 _Gary W. Adamson_, Oct 15 2007