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.

A362849 Triangle read by rows, T(n, k) = A243664(n) * binomial(n, k).

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%I A362849 #6 May 10 2023 11:50:15
%S A362849 1,1,1,21,42,21,1849,5547,5547,1849,426405,1705620,2558430,1705620,
%T A362849 426405,203374081,1016870405,2033740810,2033740810,1016870405,
%U A362849 203374081,173959321557,1043755929342,2609389823355,3479186431140,2609389823355,1043755929342,173959321557
%N A362849 Triangle read by rows, T(n, k) = A243664(n) * binomial(n, k).
%e A362849 [0]         1;
%e A362849 [1]         1,          1;
%e A362849 [2]        21,         42,         21;
%e A362849 [3]      1849,       5547,       5547,       1849;
%e A362849 [4]    426405,    1705620,    2558430,    1705620,     426405;
%e A362849 [5] 203374081, 1016870405, 2033740810, 2033740810, 1016870405, 203374081;
%o A362849 (SageMath) # uses[TransOrdPart from A362585]
%o A362849 def A362849(n) -> list[int]: return TransOrdPart(3, n)
%o A362849 for n in range(6): print(A362849(n))
%Y A362849 Family of triangles: A055372 (m=0, Pascal), A362585 (m=1, Fubini), A362586 (m=2, Joffe), this sequence (m=3, A278073).
%Y A362849 Cf. A243664 (column 0 and main diagonal).
%K A362849 nonn,tabl
%O A362849 0,4
%A A362849 _Peter Luschny_, May 05 2023