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A117593
Perrin numbers for which the sum of the digits is also a Perrin number.
0
0, 2, 3, 5, 7, 12, 39, 1130, 2627, 8090, 14197, 33004, 43721, 178364, 86700684, 114853953, 267003047, 3354494070, 529478890853, 6652110601407, 11673640327812, 63088012960224, 94439973912247359, 125106329323279427, 14906561644105976079, 45906182000494110239
OFFSET
1,2
EXAMPLE
2627 is in the sequence because (1) it is a Perrin number and (2) the sum of its digits 2+6+2+7=17 is also a Perrin number.
MATHEMATICA
p=LinearRecurrence[{0, 1, 1}, {3, 0, 2}, 162]; Union[Select[p, MemberQ[p, Total[IntegerDigits[#]]]&]] (* James C. McMahon, Sep 13 2024 *)
CROSSREFS
Cf. A001608.
Sequence in context: A024784 A060528 A273728 * A209192 A052021 A217396
KEYWORD
nonn,base
AUTHOR
Luc Stevens (lms022(AT)yahoo.com), Apr 27 2006
EXTENSIONS
a(19)-a(26) from James C. McMahon, Sep 13 2024
STATUS
approved