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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 10 18:49 EDT 2021. Contains 342853 sequences. (Running on oeis4.)