A117601 Padovan numbers which are divisible by the sum of their digits.

1, 2, 3, 4, 5, 7, 9, 12, 21, 114, 200, 351, 465, 4410, 31572, 170625, 11584946, 35676949, 786584466, 40315615410, 14793304131648, 105908093453250, 140298353215075, 5232446865180756766896, 65737871451481911585400

Offset: 1

Author

Luc Stevens (lms022(AT)yahoo.com), Apr 05 2006

Keywords

• nonn
• base

Examples

			114 is in the sequence because it is a Padovan number and it is divisible by the sum of its digits, 1+1+4 = 6.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..65

Crossrefs

Intersection of A000931 and A005349.

Programs

Mathematica

Select[Delete[LinearRecurrence[{0, 1, 1}, {1, 2, 2}, 200], 2], Divisible[#, Plus @@ IntegerDigits[#]] &] (* Amiram Eldar, Mar 24 2021 *)

Extensions

More terms from Luc Stevens (lms022(AT)yahoo.com), Apr 25 2006

Corrected and extended by Don Reble, Nov 22 2006

Offset corrected by Amiram Eldar, Mar 24 2021