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.
%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