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 A081588 Fourth row of the Pascal-(1,4,1) array A081579. 3
 1, 16, 106, 396, 1011, 2076, 3716, 6056, 9221, 13336, 18526, 24916, 32631, 41796, 52536, 64976, 79241, 95456, 113746, 134236, 157051, 182316, 210156, 240696, 274061, 310376, 349766, 392356, 438271, 487636, 540576, 597216, 657681, 722096 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA a(n) = (6+115*n-150*n^2+125*n^3)/6. G.f.: (1+4*x)^3/(1-x)^4. MATHEMATICA CoefficientList[Series[(1 + 4 x)^3 / (1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, Aug 09 2013 *) PROG (MAGMA) [(6+115*n-150*n^2+125*n^3)/6: n in [0..40]]; // Vincenzo Librandi, Aug 09 2013 CROSSREFS Cf. A081587. Sequence in context: A022708 A146211 A195806 * A097762 A083469 A224160 Adjacent sequences:  A081585 A081586 A081587 * A081589 A081590 A081591 KEYWORD easy,nonn AUTHOR Paul Barry, Mar 23 2003 STATUS approved

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