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.

A362586 Triangle read by rows, T(n, k) = A094088(n) * binomial(n, k).

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%I A362586 #13 Apr 24 2024 11:40:17
%S A362586 1,1,1,7,14,7,121,363,363,121,3907,15628,23442,15628,3907,202741,
%T A362586 1013705,2027410,2027410,1013705,202741,15430207,92581242,231453105,
%U A362586 308604140,231453105,92581242,15430207,1619195761,11334370327,34003110981,56671851635,56671851635,34003110981,11334370327,1619195761
%N A362586 Triangle read by rows, T(n, k) = A094088(n) * binomial(n, k).
%e A362586 [0]      1;
%e A362586 [1]      1,       1;
%e A362586 [2]      7,      14,       7;
%e A362586 [3]    121,     363,     363,     121;
%e A362586 [4]   3907,   15628,   23442,   15628,    3907;
%e A362586 [5] 202741, 1013705, 2027410, 2027410, 1013705, 202741;
%o A362586 (SageMath) # uses[TransOrdPart from A362585]
%o A362586 def A362586(n) -> list[int]: return TransOrdPart(2, n)
%o A362586 for n in range(6): print(A362586(n))
%Y A362586 Family of triangles: A055372 (m=0, Pascal), A362585 (m=1, Fubini), this sequence (m=2, Joffe), A362849 (m=3, A278073).
%Y A362586 Cf. A094088 (column 0 and main diagonal), A362587 (row sums).
%K A362586 nonn,tabl
%O A362586 0,4
%A A362586 _Peter Luschny_, Apr 26 2023