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.

A095145 Triangle, read by rows, formed by reading Pascal's triangle (A007318) mod 12.

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%I A095145 #21 Jul 24 2025 00:09:15
%S A095145 1,1,1,1,2,1,1,3,3,1,1,4,6,4,1,1,5,10,10,5,1,1,6,3,8,3,6,1,1,7,9,11,
%T A095145 11,9,7,1,1,8,4,8,10,8,4,8,1,1,9,0,0,6,6,0,0,9,1,1,10,9,0,6,0,6,0,9,
%U A095145 10,1,1,11,7,9,6,6,6,6,9,7,11,1,1,0,6,4,3,0,0,0,3,4,6,0,1,1,1,6,10,7,3,0,0,3,7,10,6,1,1
%N A095145 Triangle, read by rows, formed by reading Pascal's triangle (A007318) mod 12.
%H A095145 Ilya Gutkovskiy, <a href="/A275198/a275198.pdf">Illustrations (triangle formed by reading Pascal's triangle mod m)</a>
%H A095145 <a href="/index/Pas#Pascal">Index entries for triangles and arrays related to Pascal's triangle</a>
%F A095145 T(i, j) = binomial(i, j) mod 12.
%t A095145 Mod[ Flatten[ Table[ Binomial[n, k], {n, 0, 13}, {k, 0, n}]], 12]
%o A095145 (Python)
%o A095145 # uses python code from A034931 and A083093
%o A095145 from sympy.ntheory.modular import crt
%o A095145 def A095145(n): return crt([4,3],[A034931(n),A083093(n)])[0] # _Chai Wah Wu_, Jul 19 2025
%Y A095145 Cf. A007318, A047999, A083093, A034931, A095140, A095141, A095142, A034930, A095143, A008975, A095144, A034932.
%Y A095145 Sequences based on the triangles formed by reading Pascal's triangle mod m: A047999 (m = 2), A083093 (m = 3), A034931 (m = 4), A095140 (m = 5), A095141 (m = 6), A095142 (m = 7), A034930 (m = 8), A095143 (m = 9), A008975 (m = 10), A095144 (m = 11), (this sequence) (m = 12), A275198 (m = 14), A034932 (m = 16).
%K A095145 easy,nonn,tabl
%O A095145 0,5
%A A095145 _Robert G. Wilson v_, May 29 2004