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

0,4

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.

Links

Table of n, a(n) for n=0..87.

Example

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.

Sequence in context: A357930 A003056 A117707 * A087834 A172263 A337635

Adjacent sequences: A163349 A163350 A163351 * A163353 A163354 A163355

Keyword

base,easy,nonn,tabl

Author

Rick L. Shepherd, Jul 25 2009

Status

approved