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 A152450 a(0)=a(1)=1, a(2)=4,a(3)=7, a(n+4)=10*a(n+2)-a(n) 0
 1, 1, 4, 7, 39, 69, 386, 683, 3821, 6761, 37824, 66927, 374419, 662509, 3706366, 6558163, 36689241, 64919121, 363186044, 642633047, 3595171199, 6361411349, 35588525946, 62971480443, 352290088261, 623353393081, 3487312356664 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Index to sequences with linear recurrences with constant coefficients, signature (0,10,0,-1). FORMULA (1/24*(9 + 5*3^(1/2)*2^(1/2) + 6*2^(1/2) + 2*3^(1/2))/(3^(1/2)*2^(1/2) + 2))*(sqrt(3) + sqrt(2))^n + (1/48*3^(1/2)*2^(1/2) + 1/8*2^(1/2) + 1/4 + 1/6*3^(1/2))*(sqrt(3) - sqrt(2))^n + (1/2) + 1/4 + 1/6*3^(1/2): c:= 1/24*(5*3^(1/2)*2^(1/2) - 6*2^(1/2) + 9 - 2*3^(1/2))/(3^(1/2)*2^(1/2) + 2))*( - sqrt(3) - sqrt(2))^n + (1/48*3^(1/2)*2^(1/2) - 1/8*2^(1/2) + 1/4 - 1/6*3^(1/2))*( - sqrt(3) + sqrt(2))^n. G.f.: (1+x-6*x^2-3*x^3)/(1-10*x^2+x^4). [From Philippe DELEHAM and R. J. Mathar, Dec 04 2008] CROSSREFS Sequence in context: A209480 A209339 A212500 * A059213 A093102 A199404 Adjacent sequences:  A152447 A152448 A152449 * A152451 A152452 A152453 KEYWORD easy,nonn AUTHOR Richard Choulet, Dec 04 2008 STATUS approved

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