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%I #11 Feb 22 2013 14:40:22
%S 1,1,1,3,4,1,13,21,9,1,71,132,76,16,1,461,955,670,200,25,1,3447,7782,
%T 6309,2374,435,36,1,29093,70441,63833,28413,6713,833,49,1,273343,
%U 701352,694500,351512,99868,16240,1456,64,1
%N Triangle T(n,k), read by rows, given by (1,2,2,3,3,4,4,5,5,6,6,...) DELTA (1,0,1,0,1,0,1,0,1,0,1,0,1,...) where DELTA is the operator defined in A084938.
%F Sum_{k, 0<=k<=n} T(n,k)*x^k = A153881(n+1), A000007(n), A003319(n), A111537(n), A111546(n), A111556(n), A177354(n-1) for x = -2,-1,0,1,2,3,4 respectively.
%F Sum_ {k, 0<=k<=n} T(n,k)*x^(n-k) = A000012(n), A111537(n), A167872(n) for x = 0,1,2 respectively.
%F T(k+1,k)=(k+1)^2.
%e Triangle begins :
%e 1
%e 1, 1
%e 3, 4, 1
%e 13, 21, 9, 1
%e 71, 132, 76, 16, 1
%e 461, 955, 670, 200, 25, 1
%e 3447, 7782, 6309, 2374, 435, 36, 1
%e 29093, 70441, 63833, 28413, 6713, 833, 49, 1
%e 273343, 701352, 694500, 351512, 99868, 16240, 1456, 64, 1
%Y Cf. A111537, A111546, A111556, A167872
%K nonn,tabl
%O 0,4
%A _Philippe Deléham_, Nov 20 2011
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