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 A049341 a(n+1) = sum of digits of a(n) + a(n-1). 4
 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3, 3, 6, 9, 6, 6, 3, 9, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS a(n+1) = a007953(a(n) + a(n-1)) for n > 0. Terms of the simple continued fraction of 21447/[sqrt(1347705679)-29932]. [From Paolo P. Lava, Aug 06 2009] LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 Michael Gilleland, Some Self-Similar Integer Sequences Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 1). FORMULA Period 8. a(n)=1/224*{45*(n mod 8)+213*[(n+1) mod 8]-123*[(n+2) mod 8]+129*[(n+3) mod 8]+45*[(n+4) mod 8]+129*[(n+5) mod 8]-39*[(n+6) mod 8]-39*[(n+7) mod 8]} with n>=0 - Paolo P. Lava, Nov 27 2006 EXAMPLE After 6,9 we get 6+9 = 15 -> 1+5 = 6. MATHEMATICA LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 1}, {3, 6, 9, 6, 6, 3, 9, 3}, 112] (* Ray Chandler, Aug 27 2015 *) PROG (Haskell) a049341 n =  a030132_list !! n a049341_list =    3 : 6 : map a007953 (zipWith (+) a049341_list \$ tail a049341_list) -- Reinhard Zumkeller, Aug 20 2011 CROSSREFS Cf. A030132, A030133, A049342. Sequence in context: A019700 A151862 A067722 * A321943 A187082 A137991 Adjacent sequences:  A049338 A049339 A049340 * A049342 A049343 A049344 KEYWORD base,nonn AUTHOR EXTENSIONS Definition improved by Reinhard Zumkeller, Aug 20 2011 STATUS approved

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Last modified January 22 08:15 EST 2019. Contains 319357 sequences. (Running on oeis4.)