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

1,2

Links

Table of n, a(n) for n=1..36.

Formula

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

Example

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

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 *)

Prog

(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

Crossrefs

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

Sequence in context: A071266 A038153 A033848 * A342171 A092328 A138869

Adjacent sequences: A084021 A084022 A084023 * A084025 A084026 A084027

Keyword

base,nonn,tabl

Author

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

Extensions

Corrected and extended by Ray Chandler, Jun 12 2003

More terms from Michel Marcus, Mar 28 2020

Status

approved