The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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. E.g.f.: (1/8)*(8 +96*x +216*x^2 +144*x^3 +27*x^4)*exp(x). - G. C. Greubel, May 26 2021 MAPLE seq((8+6*n+81*n^2-18*n^3+27*n^4)/8, n=0..40); # G. C. Greubel, May 26 2021 MATHEMATICA CoefficientList[Series[(1+2x)^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 (Sage) [(8+6*n+81*n^2-18*n^3+27*n^4)/8 for n in (0..40)] # G. C. Greubel, May 26 2021 CROSSREFS Cf. A013610, A081583. 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 1 14:14 EDT 2021. Contains 346391 sequences. (Running on oeis4.)