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 A016994 a(n) = (7*n + 1)^2. 11
 1, 64, 225, 484, 841, 1296, 1849, 2500, 3249, 4096, 5041, 6084, 7225, 8464, 9801, 11236, 12769, 14400, 16129, 17956, 19881, 21904, 24025, 26244, 28561, 30976, 33489, 36100, 38809, 41616, 44521, 47524 (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 + 61*x + 36*x^2)/(1-x)^3. - Vincenzo Librandi, Jan 27 2013 From G. C. Greubel, Dec 28 2022: (Start) a(2*n) = A134934(n). a(2*n+1) = 4*A017030(n). E.g.f.: (1 + 63*x + 49*x^2)*exp(x). (End) MATHEMATICA (7Range[0, 50]+1)^2 (* Harvey P. Dale, Mar 05 2011 *) CoefficientList[Series[(1+61*x+36*x^2)/(1-x)^3, {x, 0, 40}], x] (* Vincenzo Librandi, Jan 27 2013 *) PROG (Magma) [(7*n+1)^2: n in [0..40]]; // Vincenzo Librandi, Jul 13 2011 (PARI) a(n)=(7*n+1)^2 \\ Charles R Greathouse IV, Jun 17 2017 (SageMath) [(7*n+1)^2 for n in range(41)] # G. C. Greubel, Dec 28 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), this sequence (m=7), A017078 (m=8), A017174 (m=9), A017282 (m=10), A017402 (m=11), A017534 (m=12), A134934 (m=14). Sequence in context: A186637 A295021 A194932 * A258732 A279714 A228802 Adjacent sequences: A016991 A016992 A016993 * A016995 A016996 A016997 KEYWORD nonn,easy AUTHOR N. J. A. Sloane STATUS approved

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Last modified December 11 02:45 EST 2023. Contains 367717 sequences. (Running on oeis4.)