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

1,2

Links

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

Example

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.

Mathematica

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

Crossrefs

Intersection of A000931 and A005349.

Sequence in context: A117599 A117602 A117600 * A117604 A117603 A250553

Adjacent sequences: A117598 A117599 A117600 * A117602 A117603 A117604

Keyword

nonn,base

Author

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

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

Status

approved