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.

A368826 Square array T(n,k) = 3*2^k - n read by ascending antidiagonals.

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%I A368826 #25 Jan 15 2024 10:04:08
%S A368826 3,2,6,1,5,12,0,4,11,24,-1,3,10,23,48,-2,2,9,22,47,96,-3,1,8,21,46,95,
%T A368826 192,-4,0,7,20,45,94,191,384,-5,-1,6,19,44,93,190,383,768,-6,-2,5,18,
%U A368826 43,92,189,382,767,1536,-7,-3,4,17,42,91,188,381,766,1535,3072
%N A368826 Square array T(n,k) = 3*2^k - n read by ascending antidiagonals.
%C A368826 Similar to A367559.
%F A368826 T(0,k) = 3*2^k     =   A007283(k).
%F A368826 T(1,k) = 3*2^k - 1 =   A083329(k+1).
%F A368826 T(2,k) = 3*2^k - 2 =   A033484(k).
%F A368826 T(3,k) = 3*2^k - 3 = 3*A000225(k).
%F A368826 T(4,k) = 3*2^k - 4 =  -A165751(k).
%F A368826 T(5,k) = 3*2^k - 5 =   A048488(k-1)
%F A368826 T(6,k) = 3*2^k - 6 = 3*A000918(k).
%e A368826 Table begins:
%e A368826    3  6 12 24 48 96 ...
%e A368826    2  5 11 23 47 95 ...
%e A368826    1  4 10 22 46 94 ...
%e A368826    0  3  9 21 45 93 ...
%e A368826   -1  2  8 20 44 92 ...
%e A368826   -2  1  7 19 43 91 ...
%e A368826   ...
%t A368826 T[n_, k_] := 3*2^k - n; Table[T[n - k, k], {n, 0, 10}, {k, 0, n}] // Flatten (* _Amiram Eldar_, Jan 15 2024 *)
%Y A368826 Cf. A000225, A000918, A007283, A033484, A048488, A083329, A165751, A367559.
%Y A368826 Cf. diagonals: A123720, A079583, A095151, A101945 (after -1).
%K A368826 tabl,sign,easy
%O A368826 0,1
%A A368826 _Paul Curtz_, Jan 07 2024