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 A100152 Structured truncated cubic numbers. 3
 1, 24, 100, 260, 535, 956, 1554, 2360, 3405, 4720, 6336, 8284, 10595, 13300, 16430, 20016, 24089, 28680, 33820, 39540, 45871, 52844, 60490, 68840, 77925, 87776, 98424, 109900, 122235, 135460, 149606, 164704 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..5000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA a(n) = (1/6)*n*(31*n^2 - 27*n + 2). G.f.: x*(1 + 20*x + 10*x^2)/(1-x)^4. - Colin Barker, Jan 19 2012 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(1)=1, a(2)=24, a(3)=100, a(4)=260. - Harvey P. Dale, Jan 11 2016 E.g.f.: x*(6 + 66*x + 31*x^2)*exp(x)/6. - G. C. Greubel, Oct 18 2018 MATHEMATICA Table[n/6 (31n^2-27n+2), {n, 40}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {1, 24, 100, 260}, 40] (* Harvey P. Dale, Jan 11 2016 *) PROG (Magma) [(1/6)*(31*n^3-27*n^2+2*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011 (PARI) vector(50, n, (31*n^3-27*n^2+2*n)/6) \\ G. C. Greubel, Oct 18 2018 CROSSREFS Cf. A100151, A100153 for adjacent structured Archimedean solids; A100145 for more on structured polyhedral numbers. Similar to truncated cubic numbers A005912. Sequence in context: A042124 A042126 A157514 * A233405 A297798 A048529 Adjacent sequences: A100149 A100150 A100151 * A100153 A100154 A100155 KEYWORD nonn,easy AUTHOR James A. Record (james.record(AT)gmail.com), Nov 07 2004 STATUS approved

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Last modified December 3 23:05 EST 2022. Contains 358543 sequences. (Running on oeis4.)