A084024 Triangle read by rows in which row n gives n smallest n-digit multiples of n that are palindromes.

1, 22, 44, 111, 141, 171, 2112, 2332, 2552, 2772, 50005, 50105, 50205, 50305, 50405, 201102, 204402, 207702, 210012, 213312, 216612, 1002001, 1009001, 1011101, 1018101, 1020201, 1027201, 1036301, 21100112, 21111112, 21122112, 21133112, 21144112, 21155112, 21166112, 21177112

Offset: 1

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 23 2003

Keywords

• base
• nonn
• tabl

Examples

			1
22 44
111 141 171
2112 2332 2552 2772
...
		

Crossrefs

Cf. A053041, A083123, A084025, A084026, A084027, A084028.

Programs

Mathematica

snm[n_]:=Module[{a=Floor[10^(n-1)],b=Floor[10^n-1]},Select[ Select[ Range[ a,b],Divisible[#,n]&&IntegerLength[#]==n&],PalindromeQ,n]]; Array[ snm,8]//Flatten (* Harvey P. Dale, Aug 23 2020 *)

PARI

isok(k, n) = my(d=digits(k*n)); (#d == n) && (Vecrev(d) == d);
row(n) = {my(v=vector(n), k = ceil(10^(n-1)/n)); for (i=1, n, while(! isok(k, n), k++); v[i] = k*n; k++;); v;} \\ Michel Marcus, Mar 28 2020

Formula

T(n, 1) >= A053041(n); T(n, 1) = A083123(n). - Michel Marcus, Mar 28 2020

Extensions

Corrected and extended by Ray Chandler, Jun 12 2003

More terms from Michel Marcus, Mar 28 2020