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.

A094344 Triangle T(n,k), 0<= k <= n, read by rows; given by [0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, ...] DELTA [1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, ...] where DELTA is the operator defined in A084938.

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%I A094344 #13 Jun 20 2023 10:08:44
%S A094344 1,0,1,0,1,1,0,2,4,1,0,6,18,13,1,0,24,96,119,46,1,0,120,600,1059,777,
%T A094344 199,1,0,720,4320,9890,10760,5536,1072,1,0,5040,35280,99158,142990,
%U A094344 111316,44228,6985,1,0,40320,322560,1073692,1926312,2009578,1217352,395865,53218,1
%N A094344 Triangle T(n,k), 0<= k <= n, read by rows; given by [0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, ...] DELTA [1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, ...] where DELTA is the operator defined in A084938.
%F A094344 Sum_{k=0..n} T(n,k)*3^(n-k) = A128709(n). - _Philippe Deléham_, Mar 27 2007
%e A094344 Triangle begins:
%e A094344   1;
%e A094344   0,  1;
%e A094344   0,  1,  1;
%e A094344   0,  2,  4,   1;
%e A094344   0,  6, 18,  13,  1;
%e A094344   0, 24, 96, 119, 46, 1;
%e A094344   ...
%Y A094344 Row sums: A094664.
%Y A094344 Columns: A000007, A000142, A001563.
%Y A094344 Diagonals: A000012, A014145.
%K A094344 nonn,tabl
%O A094344 0,8
%A A094344 _Philippe Deléham_, Jun 02 2004
%E A094344 Row 9 completed by _Michel Marcus_, Jun 20 2023