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A132108 Triangle T(n,k) = binomial(n,k)+n-k read by rows.

%I A132108 #17 Sep 08 2022 08:45:31
%S A132108 1,2,1,3,3,1,4,5,4,1,5,7,8,5,1,6,9,13,12,6,1,7,11,19,23,17,7,1,8,13,
%T A132108 26,39,38,23,8,1,9,15,34,61,74,59,30,9,1,10,17,43,90,131,130,87,38,10,
%U A132108 1
%N A132108 Triangle T(n,k) = binomial(n,k)+n-k read by rows.
%H A132108 Harvey P. Dale, <a href="/A132108/b132108.txt">Table of n, a(n) for n = 0..5000</a>
%F A132108 T(n,k) = A007318(n,k) + A002024(n,k) - A002260(n,k).
%e A132108 First few rows of the triangle are:
%e A132108 1;
%e A132108 2, 1;
%e A132108 3, 3, 1;
%e A132108 4, 5, 4, 1;
%e A132108 5, 7, 8, 5, 1;
%e A132108 6, 9, 13, 12, 6, 1;
%e A132108 7, 11, 19, 23, 17, 7, 1;
%e A132108 ...
%t A132108 Table[Binomial[n,k]+n-k,{n,0,10},{k,0,n}]//Flatten (* _Harvey P. Dale_, Mar 08 2018 *)
%o A132108 (Magma) /* As triangle: */ [[Binomial(n,k)+n-k: k in [0..n]]: n in [0.. 15]]; // _Vincenzo Librandi_, May 23 2016
%Y A132108 Cf. A007318, A002024, A002260, A132109 (row sums).
%K A132108 nonn,easy,tabl
%O A132108 0,2
%A A132108 _Gary W. Adamson_, Aug 09 2007