A163352 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.

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

Offset: 0

Author

Rick L. Shepherd, Jul 25 2009

Keywords

• base
• easy
• nonn
• tabl

Comments

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

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

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

Examples

			T(10,1) = 11 = a(56) as 1>0 in both tens and units positions. Sequence first differs from A003056 here.
T(104,53) = 154 as 4>3, 5>0, and 1>0.
		

Crossrefs

Cf. A163351, A003056, A051885, A080098.