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 A160250 a(n) = 64*n^3 - 168*n^2 + 148*n - 43. 2
 1, 93, 617, 1957, 4497, 8621, 14713, 23157, 34337, 48637, 66441, 88133, 114097, 144717, 180377, 221461, 268353, 321437, 381097, 447717, 521681, 603373, 693177, 791477, 898657, 1015101, 1141193, 1277317, 1423857, 1581197, 1749721, 1929813, 2121857, 2326237, 2543337, 2773541, 3017233 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES John H. Conway and Richard K. Guy, 'The Book of Numbers', Copernicus Pub. Co., 1996 Peter Pearce and Susan Pearce, 'Polyhedra primer', Van Nostrand Reinhold, 1978 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA G.f.: x*(1 + 89*x + 251*x^2 + 43*x^3)/(1-x)^4. - R. J. Mathar, Nov 10 2011 a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - Vincenzo Librandi, Jul 01 2012 E.g.f.: 43 + (-43 + 44*x + 24*x^2 + 64*x^3)*exp(x). - G. C. Greubel, Nov 14 2019 MAPLE seq(((8*n-7)^3 +(8*n-1))/8, n=1..40); # G. C. Greubel, Nov 14 2019 MATHEMATICA CoefficientList[Series[(1+89*x+251*x^2+43*x^3)/(x-1)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Jul 01 2012 *) LinearRecurrence[{4, -6, 4, -1}, {1, 93, 617, 1957}, 30] (* Harvey P. Dale, Mar 16 2013 *) Table[((8*n-7)^3 +(8*n-1))/8, {n, 40}] (* G. C. Greubel, Nov 14 2019 *) PROG (Magma) I:=[1, 93, 617, 1957]; [n le 4 select I[n] else 4*Self(n-1) - 6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..40]]; // Vincenzo Librandi, Jul 01 2012 (PARI) a(n)=64*n^3-168*n^2+148*n-43 \\ Charles R Greathouse IV, Apr 25 2016 (Sage) [((8*n-7)^3 +(8*n-1))/8 for n in (1..40)] # G. C. Greubel, Nov 14 2019 (GAP) List([1..40], n-> ((8*n-7)^3 +(8*n-1))/8); # G. C. Greubel, Nov 14 2019 CROSSREFS Sequence in context: A146090 A160174 A238693 * A332614 A264556 A250373 Adjacent sequences: A160247 A160248 A160249 * A160251 A160252 A160253 KEYWORD easy,nonn AUTHOR Chris G. Spies-Rusk (chaosorder4(AT)gmail.com), May 05 2009, May 11 2009, May 19 2009 EXTENSIONS Edited by G. C. Greubel, Nov 14 2019 STATUS approved

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Last modified February 26 04:47 EST 2024. Contains 370335 sequences. (Running on oeis4.)