A234314 Let x(0)x(1)x(2)... x(q) denote the decimal expansion of n. Sequence lists the numbers n such that the suffix of decimal expansion x(1)x(2)... x(q) is the x(0)-th divisor of n.

11, 22, 25, 101, 202, 205, 304, 410, 425, 620, 735, 816, 832, 850, 975, 1001, 2002, 2005, 3004, 4010, 5025, 5125, 7035, 7175, 8016, 9024, 9036, 9040, 9075, 10001, 20002, 20005, 30004, 30025, 40010, 50008, 60016, 60020, 60050, 70625, 80010, 80016, 80128, 90036

Offset

1,1

Links

Table of n, a(n) for n=1..44.

Example

735 is in the sequence because the divisors of 735 are {1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735} and 35 is the 7th divisor of 735.

Maple

with(numtheory):for n from 1 to 100000 do:x:=convert(n, base, 10):n1:=nops(x):y:=divisors(n):n2:=nops(y):a:=x[n1]: s:=sum('x[i]*10^(i-1) ', 'i'=1..n1-1):if n2>a and y[a]=s then printf(`%d, `, n):else fi:od:

Crossrefs

Cf. A234315.

Sequence in context: A062055 A332516 A066500 * A258738 A160272 A164006

Adjacent sequences: A234311 A234312 A234313 * A234315 A234316 A234317

Keyword

nonn,base

Author

Michel Lagneau, Dec 23 2013

Status

approved