

A117952


Perrin numbers which are divisible by the sum of their digits.


1



2, 3, 5, 7, 10, 12, 90, 209, 486, 644, 1130, 3480, 963935, 5209407, 3233514234548132, 1012112601190792234002, 18348324030778496342550922713690, 2107377545862489429119439140954710648307, 842301502360957349559574408551746623721263774871322
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OFFSET

1,1


COMMENTS

a(20) has 64 digits and it is too large to include in the data section.  Amiram Eldar, Feb 08 2021


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..35


FORMULA

a(n) = A001608(k): A007953(a(n))  a(n) for some k.  R. J. Mathar, Jun 02 2006


EXAMPLE

963935 is in the sequence because it is a Perrin number and it is divisible by the sum of the digits, 9+6+3+9+3+5 = 35.


MATHEMATICA

Union @ Select[LinearRecurrence[{0, 1, 1}, {2, 3, 2}, 500], Divisible[#, Plus @@ IntegerDigits[#]] &] (* Amiram Eldar, Feb 08 2021 *)


CROSSREFS

Intersection of A001608 and A005349.
Cf. A007953.
Sequence in context: A191327 A109598 A117959 * A090420 A162999 A064509
Adjacent sequences: A117949 A117950 A117951 * A117953 A117954 A117955


KEYWORD

base,nonn


AUTHOR

Luc Stevens (lms022(AT)yahoo.com), May 03 2006


EXTENSIONS

More terms from R. J. Mathar, Jun 02 2006


STATUS

approved



