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 A017282 a(n) = (10*n + 1)^2. 12
 1, 121, 441, 961, 1681, 2601, 3721, 5041, 6561, 8281, 10201, 12321, 14641, 17161, 19881, 22801, 25921, 29241, 32761, 36481, 40401, 44521, 48841, 53361, 58081, 63001, 68121, 73441, 78961, 84681, 90601, 96721, 103041, 109561, 116281, 123201 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA G.f.: (1+118*x+81*x^2)/(1-x)^3. - Bruno Berselli, Jul 30 2011 a(n) = a(n-1) + 40*(5*n-2), n > 0; a(0)=1. - Miquel Cerda, Oct 30 2016 a(n) = A017281(n)^2. - Michel Marcus, Oct 30 2016 E.g.f.: (1 +120*x +100*x^2)*exp(x). - G. C. Greubel, Dec 24 2022 MATHEMATICA (* Programs from Michael De Vlieger, Mar 30 2017 *) Table[(10 n+1)^2, {n, 0, 35}] FoldList[#1 + 200 #2 - 80 &, 1, Range@ 35] CoefficientList[Series[(1+118x+81x^2)/(1-x)^3, {x, 0, 35}], x] (* End *) LinearRecurrence[{3, -3, 1}, {1, 121, 441}, 40] (* Harvey P. Dale, Sep 21 2017 *) PROG (Magma) [(10*n+1)^2: n in [0..35]]; // Vincenzo Librandi, Jul 30 2011 (PARI) for(n=0, 35, print1((10*n+1)^2", ")); \\ Bruno Berselli, Jul 30 2011 (SageMath) [(10*n+1)^2 for n in range(51)] # G. C. Greubel, Dec 24 2022 CROSSREFS Sequences of the form (m*n+1)^2: A000012 (m=0), A000290 (m=1), A016754 (m=2), A016778 (m=3), A016814 (m=4), A016862 (m=5), A016922 (m=6), A016994 (m=7), A017078 (m=8), A017174 (m=9), this sequence (m=10), A017402 (m=11), A017534 (m=12), A134934 (m=14). Cf. A017281. Sequence in context: A326710 A144719 A222551 * A036304 A052082 A062555 Adjacent sequences: A017279 A017280 A017281 * A017283 A017284 A017285 KEYWORD nonn,easy AUTHOR N. J. A. Sloane EXTENSIONS More terms from Bruno Berselli, Jul 30 2011 STATUS approved

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Last modified April 17 13:32 EDT 2024. Contains 371764 sequences. (Running on oeis4.)