A082937 - OEIS

A082937

Palindromes divisible by each of their digits

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 111, 212, 222, 333, 424, 444, 515, 555, 636, 666, 777, 848, 888, 999, 1111, 1771, 2112, 2222, 2772, 3333, 4224, 4444, 5115, 5555, 5775, 6336, 6666, 7777, 8448, 8888, 9999, 11111, 11711, 13131, 17171

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OFFSET

1,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..300

EXAMPLE

424 is divisible by both 4 and 2.

MATHEMATICA

Select[Range[20000], PalindromeQ[#]&&FreeQ[IntegerDigits[#], 0]&&Union[Mod[ #, IntegerDigits[ #]]]=={0}&] (* Harvey P. Dale, Feb 08 2024 *)

PROG

(PARI) isok(n) = {my(d=digits(n)); if ((d == Vecrev(d)) && vecmin(d), d = Set(d); for (i=1, #d, if (n % d[i], return(0)); ); return (1); ); return (0); } \\ Michel Marcus, May 26 2019

CROSSREFS

Intersection of A002113 (palindromes in base 10) and A034838.

Subsequence of A052382 (zeroless numbers).

Sequence in context: A353729 A227001 A248954 * A214019 A160818 A244514

Adjacent sequences: A082934 A082935 A082936 * A082938 A082939 A082940

KEYWORD

base,nonn

AUTHOR

Meenakshi Srikanth (menakan_s(AT)yahoo.com), Apr 24 2003

EXTENSIONS

More terms from Michel Marcus, May 26 2019

Definition clarified by Harvey P. Dale, Feb 08 2024

STATUS

approved