A346389 - OEIS

A346389

a(n) is the number of proper divisors of A324297(n) ending with 6.

1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 2, 4, 2, 1, 2, 2, 3, 3, 2, 2, 4, 2, 5, 3, 3, 2, 2, 2, 4, 2, 2, 2, 3, 3, 4, 3, 4, 2, 5, 3, 3, 2, 2, 2, 2, 7, 2, 1, 2, 2, 3, 2, 3, 2, 2, 5, 3, 6, 3, 3, 2, 2, 2, 5, 2, 2, 3, 4, 3, 5, 2, 5, 4, 3, 2, 3, 6, 2, 2, 2, 6, 2, 2, 3, 2, 2, 3, 7

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..88.

FORMULA

a(n) = A346392(A324297(n)).

EXAMPLE

a(12) = 4 since there are 4 proper divisors of A324297(12) = 576 ending with 6: 6, 16, 36 and 96.

MATHEMATICA

b={}; For[n=0, n<=450, n++, For[k=0, k<=n, k++, If[Mod[10*n+6, 10*k+6]==0 && Mod[(10*n+6)/(10*k+6), 10]==6 && 10*n+6>Max[b], AppendTo[b, 10*n+6]]]]; (* A324297 *) a={}; For[i =1, i<=Length[b], i++, AppendTo[a, Length[Drop[Select[Divisors[Part[b, i]], (Mod[#, 10]==6&)], -1]]]]; a

CROSSREFS

Cf. A017341, A032741, A324297, A324298, A337856, A346388 (ending with 5), A346392.

Sequence in context: A209323 A083647 A364332 * A056691 A262982 A205011

Adjacent sequences: A346386 A346387 A346388 * A346390 A346391 A346392

KEYWORD

nonn,base

AUTHOR

Stefano Spezia, Jul 15 2021

STATUS

approved