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Triangle T(n,k) = m, 0<=k<=n, read by rows, where each decimal digit d of the integer m is the maximum of the corresponding decimal digits of n and k.
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%I #2 Mar 30 2012 17:36:45

%S 0,1,1,2,2,2,3,3,3,3,4,4,4,4,4,5,5,5,5,5,5,6,6,6,6,6,6,6,7,7,7,7,7,7,

%T 7,7,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,10,11,12,13,14,15,16,17,18,

%U 19,10,11,11,12,13,14,15,16,17,18,19,11,11,12,12,12,13,14,15,16,17,18,19

%N Triangle T(n,k) = m, 0<=k<=n, read by rows, where each decimal digit d of the integer m is the maximum of the corresponding decimal digits of n and k.

%C The number k is left-padded with zeros as necessary for comparison with n.

%C Clearly, for all n>=0, T(n,0) = T(n,n) = n.

%C For all A051885(n), T(A051885(n),k) = A051885(n); no other rows have constant terms.

%e T(10,1) = 11 = a(56) as 1>0 in both tens and units positions. Sequence first differs from A003056 here.

%e T(104,53) = 154 as 4>3, 5>0, and 1>0.

%Y Cf. A163351, A003056, A051885, A080098.

%K base,easy,nonn,tabl

%O 0,4

%A _Rick L. Shepherd_, Jul 25 2009