A334417 a(n) is the palindrome equal to A334416(n) divided by its sum of digits.

1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 2, 7, 4, 3, 4, 7, 5, 4, 6, 7, 8, 9, 7, 55, 22, 11, 55, 22, 55, 22, 55, 55, 33, 55, 55, 55, 55, 44, 55, 55, 55, 55, 505, 88, 66, 202, 262, 77, 121, 88, 99, 181, 151, 121, 101, 88, 505, 424, 181, 121, 151, 181, 131, 343, 202, 181, 141

Offset

1,10

Links

Table of n, a(n) for n=1..67.

Index entries for sequences related to palindromes

Formula

a(n) = A334416(n) / A007953(A334416(n)).

Example

A334416(10) = 12 whose sum of digits is 3; 12/3 = 4, so a(10) = 4.

Mathematica

Select[#/Plus @@ IntegerDigits[#] & /@ Range[3000], PalindromeQ] (* Amiram Eldar, Apr 29 2020 *)

Prog

(PARI) isok(m) = iferr(my(d=digits(m/sumdigits(m))); d==Vecrev(d), E, 0);
apply(x->x/sumdigits(x), select(x->isok(x), [1..3000])) \\ Michel Marcus, Apr 29 2020

Crossrefs

Cf. A007953, A113315, A334416.

Cf. A334375 (similar for primes).

Sequence in context: A329796 A002949 A197026 * A195779 A130849 A138754

Adjacent sequences: A334414 A334415 A334416 * A334418 A334419 A334420

Keyword

nonn,base

Author

Bernard Schott, Apr 29 2020

Status

approved