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 A081584 Fourth row of Pascal-(1,2,1) array A081577. 3
 1, 13, 79, 307, 886, 2086, 4258, 7834, 13327, 21331, 32521, 47653, 67564, 93172, 125476, 165556, 214573, 273769, 344467, 428071, 526066, 640018, 771574, 922462, 1094491, 1289551, 1509613, 1756729, 2033032, 2340736, 2682136, 3059608 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Equals binomial transform of [1, 12, 54, 108, 81, 0, 0, 0,...] where (1, 12, 54, 108, 81) = row 4 of triangle A013610. - Gary W. Adamson, Jul 19 2008 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1). FORMULA a(n) = (8+6*n+81*n^2-18*n^3+27*n^4)/8. G.f.:(1+2*x)^4/(1-x)^5. MATHEMATICA CoefficientList[Series[(1 + 2 x)^4 / (1 - x)^5, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 09 2013 *) PROG (MAGMA) [(8+6*n+81*n^2-18*n^3+27*n^4)/8: n in [0..40]]; // Vincenzo Librandi, Aug 09 2013 CROSSREFS Cf. A081583, A013610. Sequence in context: A041318 A142056 A173831 * A125323 A075584 A126481 Adjacent sequences:  A081581 A081582 A081583 * A081585 A081586 A081587 KEYWORD easy,nonn AUTHOR Paul Barry, Mar 23 2003 STATUS approved

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Last modified August 18 01:19 EDT 2019. Contains 326059 sequences. (Running on oeis4.)