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Perrin numbers for which the sum of the digits is also a Perrin number.
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%I #7 Sep 13 2024 11:57:13

%S 0,2,3,5,7,12,39,1130,2627,8090,14197,33004,43721,178364,86700684,

%T 114853953,267003047,3354494070,529478890853,6652110601407,

%U 11673640327812,63088012960224,94439973912247359,125106329323279427,14906561644105976079,45906182000494110239

%N Perrin numbers for which the sum of the digits is also a Perrin number.

%e 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.

%t p=LinearRecurrence[{0, 1, 1}, {3, 0, 2}, 162];Union[Select[p,MemberQ[p,Total[IntegerDigits[#]]]&]] (* _James C. McMahon_, Sep 13 2024 *)

%Y Cf. A001608.

%K nonn,base

%O 1,2

%A Luc Stevens (lms022(AT)yahoo.com), Apr 27 2006

%E a(19)-a(26) from _James C. McMahon_, Sep 13 2024