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%I #13 Sep 09 2018 02:29:17
%S 1,1,1,1,3,1,1,5,13,1,1,7,33,63,1,1,9,61,229,313,1,1,11,97,547,1601,
%T 1563,1,1,13,141,1065,4921,11205,7813,1,1,15,193,1831,11713,44287,
%U 78433,39063,1,1,17,253,2893,23801,128841,398581,549029,195313,1,1,19,321
%N Square array read by antidiagonals: T(n,k) = (k*(2*k+3)^n + 1)/(k+1).
%H Nathaniel Johnston, <a href="/A083075/b083075.txt">Antidiagonals 0..100, flattened</a>
%e Array begins:
%e 1 1 1 1 1 ...
%e 1 3 13 63 313 ...
%e 1 5 33 229 1601 ...
%e 1 7 61 547 4921 ...
%e 1 9 97 1065 11713 ...
%e ...
%p T := proc(n,k) return (k*(2*k+3)^n+1)/(k+1): end: seq(seq(T(k,n-k),k=0..n),n=0..10); # _Nathaniel Johnston_, Jun 26 2011
%Y Rows include A034478, A083076, A066443, A083077, A083078.
%Y Columns include odds, A082109, A083079.
%Y Diagonals include A083079, A083080, A083081, A083082.
%K easy,nonn,tabl
%O 0,5
%A _Paul Barry_, Apr 23 2003