A334375 -id:A334375 - cp's OEIS frontend

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

Bernard Schott, Apr 29 2020

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

Index entries for sequences related to palindromes

Cf. A007953, A113315, A334416.

Cf. A334375 (similar for primes).

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

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

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

A334376 a(n) is the sum of digits of the n-th Moran number (A001101).

Original entry on oeis.org

9, 3, 9, 6, 9, 9, 12, 3, 6, 9, 7, 8, 9, 12, 9, 10, 15, 18, 3, 9, 11, 6, 12, 13, 9, 14, 15, 9, 10, 12, 21, 6, 11, 9, 12, 15, 13, 7, 12, 14, 9, 15, 18, 16, 9, 17, 15, 18, 9, 10, 12, 18, 18, 21, 9, 11, 12, 18, 24, 15, 18, 27, 3, 8, 9, 10, 15, 18, 3, 7, 9, 12, 16

Offset: 1

Rémy Sigrist, Apr 25 2020

			For n = 42:
- A001101(42) = 555,
- A007953(555) = 15,
- hence a(42) = 15.

Cf. A001101, A007953, A334375.

for (n=1, 1168, if (n%(s=sumdigits(n))==0 && isprime(n/s), print1 (s", ")))

a(n) = A007953(A001101(n)).

cp's OEIS Frontend

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

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