A072483 -id:A072483 - cp's OEIS frontend

A072484 Triangle in which the n-th row contains the n smallest numbers containing the string of digits of n in increasing order.

1, 2, 12, 3, 13, 23, 4, 14, 24, 34, 5, 15, 25, 35, 45, 6, 16, 26, 36, 46, 56, 7, 17, 27, 37, 47, 57, 67, 8, 18, 28, 38, 48, 58, 68, 78, 9, 19, 29, 39, 49, 59, 69, 79, 89, 10, 100, 101, 102, 103, 104, 105, 106, 107, 108, 11, 110, 111, 112, 113, 114, 115, 116, 117, 118

Offset: 1

Amarnath Murthy, Jul 07 2002

			The triangle begins
1
2 12
3 13 23
4 14 24 34
.....
The 13th row is 13,113,130,131,132,133,134,135,136,137,138,139,213

Rémy Sigrist, Table of n, a(n) for n = 1..10011
Rémy Sigrist, Perl program for A072484

Cf. A072483, A072485, A293869, A337918.

Perl
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See Links section.
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T(n, k) = A293869(n, k) for any n > 0 and k = 1..n. - Rémy Sigrist, Jan 29 2021

Edited by T. D. Noe, Apr 23 2009
Example corrected by Robert Israel, Sep 25 2019
Offset changed to 1 by Rémy Sigrist, Jan 29 2021

A072485 n-th number that includes the substring [n] in its decimal expansion.

Original entry on oeis.org

1, 12, 23, 34, 45, 56, 67, 78, 89, 108, 119, 129, 213, 314, 415, 516, 617, 718, 819, 920, 1021, 1220, 1223, 1240, 1251, 1262, 1273, 1284, 1295, 1306, 1317, 1328, 1433, 1349, 1435, 1536, 1637, 1738, 1839, 1940, 2041, 2142, 2243, 2441, 2445, 2460, 2471, 2482, 2493, 2504, 2515, 2526, 2537, 2548

Offset: 1

Amarnath Murthy, Jul 07 2002

Robert Israel, Table of n, a(n) for n = 1..9999

Leading diagonal of triangle defined in A072484.

Cf. A072483, A072484.

N:= 100: count:= 0: R:= {$1..N}:
V:= Vector(N):
for n from 1 while count < N do
  Q:= map(proc(t) local i; seq(t mod 10^i,i=1..1+ilog10(t)) end proc,
    {seq(floor(n/10^i), i=0..ilog10(n))}) intersect R;
  for m in Q do
    V[m]:= V[m]+1;
    if V[m] = m then A[m]:= n; count:= count+1 fi
  od;
od:
seq(A[i],i=1..N); # Robert Israel, Sep 25 2019

Corrected and extended by Robert Israel, Sep 25 2019

cp's OEIS Frontend

A072484 Triangle in which the n-th row contains the n smallest numbers containing the string of digits of n in increasing order.

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