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.

A086404 Square array of numbers T(n,k) = ((1+sqrt(3))*(k+sqrt(3))^n-(1-sqrt(3))*(k-sqrt(3))^n)/(2*sqrt(3)), read by antidiagonals.

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%I A086404 #7 May 23 2021 02:39:33
%S A086404 1,1,1,1,2,3,1,3,6,3,1,4,11,16,9,1,5,18,41,44,9,1,6,27,84,153,120,27,
%T A086404 1,7,38,151,396,571,328,27,1,8,51,248,857,1872,2131,896,81,1,9,66,381,
%U A086404 1644,4893,8856,7953,2448,81,1,10,83,556,2889,10984,28003,41904,29681
%N A086404 Square array of numbers T(n,k) = ((1+sqrt(3))*(k+sqrt(3))^n-(1-sqrt(3))*(k-sqrt(3))^n)/(2*sqrt(3)), read by antidiagonals.
%e A086404 Rows begin
%e A086404   1, 1,  3,   3,   9, ...
%e A086404   1, 2,  6,  16,  44, ...
%e A086404   1, 3, 11,  41, 153, ...
%e A086404   1, 4, 18,  84, 396, ...
%e A086404   1, 5, 27, 151, 857, ...
%Y A086404 Rows include A002605, A079935, A086405. Main diagonal is A086406. Rows are successive binomial transforms of (1, 1, 3, 3, 9, 9, ...).
%Y A086404 Cf. A086350.
%K A086404 easy,nonn,tabl
%O A086404 0,5
%A A086404 _Paul Barry_, Jul 19 2003