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 A033572 a(n) = (2*n+1)*(7*n+1). 4
 1, 24, 75, 154, 261, 396, 559, 750, 969, 1216, 1491, 1794, 2125, 2484, 2871, 3286, 3729, 4200, 4699, 5226, 5781, 6364, 6975, 7614, 8281, 8976, 9699, 10450, 11229, 12036, 12871, 13734, 14625, 15544, 16491, 17466, 18469, 19500, 20559, 21646, 22761, 23904, 25075, 26274, 27501, 28756 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Sequence found by reading the line from 1, in the direction 1, 24,..., in the square spiral whose vertices are the generalized enneagonal numbers A118277. Also sequence found by reading the same line in the square spiral whose edges have length A195019 and whose vertices are the numbers A195020. - Omar E. Pol, Sep 13 2011 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA a(n) = a(n-1) + 28*n - 5 for n>0, a(0)=1. - Vincenzo Librandi, Nov 17 2010 From G. C. Greubel, Oct 12 2019: (Start) G.f.: (1 + 21*x + 6*x^2)/(1-x)^3. E.g.f.: (1 + 23*x + 14*x^2)*exp(x). (End) MAPLE seq((2*n+1)*(7*n+1), n=0..50); # G. C. Greubel, Oct 12 2019 MATHEMATICA Table[(2*n+1)*(7*n+1), {n, 0, 50}] (* G. C. Greubel, Oct 12 2019 *) PROG (PARI) a(n)=(2*n+1)*(7*n+1) \\ Charles R Greathouse IV, Jun 17 2017 (MAGMA) [(2*n+1)*(7*n+1): n in [0..50]] # G. C. Greubel, Oct 12 2019 (Sage) [(2*n+1)*(7*n+1) for n in range(50)] # G. C. Greubel, Oct 12 2019 (GAP) List([0..50], n-> (2*n+1)*(7*n+1)); # G. C. Greubel, Oct 12 2019 CROSSREFS Bisection of A001106. Sequence in context: A045249 A185940 A265424 * A233883 A291630 A195027 Adjacent sequences:  A033569 A033570 A033571 * A033573 A033574 A033575 KEYWORD nonn,easy AUTHOR EXTENSIONS Terms a(35) onward added by G. C. Greubel, Oct 12 2019 STATUS approved

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Last modified July 25 03:36 EDT 2021. Contains 346282 sequences. (Running on oeis4.)