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.

A176063 Asymmetrical triangle sequence:t(n,m)=(-1)^m* Binomial[n, m] Pochhammer[ -n, m] - (-1)^n Pochhammer[ -n, n] + (-1)^( n - m)* Binomial[n, -m + n] Pochhammer[ -n, -m + n].

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%I A176063 #4 Jul 22 2025 07:56:36
%S A176063 1,1,1,1,6,1,1,21,21,1,1,88,120,88,1,1,505,680,680,505,1,1,3636,5130,
%T A176063 4080,5130,3636,1,1,30289,48762,31710,31710,48762,30289,1,1,282304,
%U A176063 525728,354816,194880,354816,525728,282304,1,1,2903121,6171552,4759776
%N A176063 Asymmetrical triangle sequence:t(n,m)=(-1)^m* Binomial[n, m] Pochhammer[ -n, m] - (-1)^n Pochhammer[ -n, n] + (-1)^( n - m)* Binomial[n, -m + n] Pochhammer[ -n, -m + n].
%C A176063 Row sums are:
%C A176063 {1, 7, 43, 297, 2371, 21613, 221523, 2520577, 31515427, 429407661,...}.
%F A176063 t(n,m)=(-1)^m* Binomial[n, m] Pochhammer[ -n, m] - (-1)^n Pochhammer[ -n, n] + (-1)^( n - m)* Binomial[n, -m + n] Pochhammer[ -n, -m + n]
%e A176063 {1},
%e A176063 {1, 1},
%e A176063 {1, 6, 1},
%e A176063 {1, 21, 21, 1},
%e A176063 {1, 88, 120, 88, 1},
%e A176063 {1, 505, 680, 680, 505, 1},
%e A176063 {1, 3636, 5130, 4080, 5130, 3636, 1},
%e A176063 {1, 30289, 48762, 31710, 31710, 48762, 30289, 1},
%e A176063 {1, 282304, 525728, 354816, 194880, 354816, 525728, 282304, 1},
%e A176063 {1, 2903121, 6171552, 4759776, 1923264, 1923264, 4759776, 6171552, 2903121, 1},
%e A176063 {1, 32659300, 78023250, 69033600, 29181600, 11612160, 29181600, 69033600, 78023250, 32659300, 1}
%t A176063 L[n_, m_] = (-1)^m* Binomial[n, m] Pochhammer[ -n, m] - (-1)^n Pochhammer[ -n, n] + (-1)^(n - m)* Binomial[n, - m + n] Pochhammer[ -n, -m + n];
%t A176063 Table[Table[L[n, m], {m, 0, n}], {n, 0, 10}];
%t A176063 Flatten[%]
%Y A176063 Cf. A021010
%K A176063 nonn,tabl,uned
%O A176063 0,5
%A A176063 _Roger L. Bagula_, Apr 07 2010