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 A282850 38-gonal numbers: a(n) = n*(18*n-17). 0
 0, 1, 38, 111, 220, 365, 546, 763, 1016, 1305, 1630, 1991, 2388, 2821, 3290, 3795, 4336, 4913, 5526, 6175, 6860, 7581, 8338, 9131, 9960, 10825, 11726, 12663, 13636, 14645, 15690, 16771, 17888, 19041, 20230, 21455, 22716, 24013, 25346, 26715, 28120, 29561 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..41. Index to sequences related to polygonal numbers Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA G.f.: -x*(35*x+1)/(x-1)^3. E.g.f.: exp(x)*(x + 18*x^2). - Nikolaos Pantelidis, Feb 10 2023 MATHEMATICA Table[n(36n-34)/2, {n, 50}] LinearRecurrence[{3, -3, 1}, {0, 1, 38}, 42] (* or *) CoefficientList[Series[-x * (35 * x + 1) / (x - 1) ^ 3, {x, 0, 41}], x] (* Indranil Ghosh, Feb 27 2017 *) PROG (PARI) for(n=0, 20, print1(n*(18*n-17), ", ")) \\ Derek Orr, Feb 26 2017 (PARI) a(n)=n*(18*n-17) \\ Charles R Greathouse IV, Feb 26 2017 CROSSREFS Cf. A255187, A254474, A261191. Sequence in context: A251236 A283804 A251229 * A173309 A044289 A044670 Adjacent sequences: A282847 A282848 A282849 * A282851 A282852 A282853 KEYWORD nonn,easy AUTHOR Haney Moon, Feb 23 2017 STATUS approved

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Last modified September 8 00:04 EDT 2024. Contains 375749 sequences. (Running on oeis4.)