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 A162669 a(n) = n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)/5. 2
 0, 144, 1008, 4032, 12096, 30240, 66528, 133056, 247104, 432432, 720720, 1153152, 1782144, 2673216, 3907008, 5581440, 7814016, 10744272, 14536368, 19381824, 25502400, 33153120, 42625440, 54250560, 68402880, 85503600, 106024464, 130491648, 159489792, 193666176 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 FORMULA From R. J. Mathar, Jul 13 2009: (Start) a(n) = 144 * A000579(n+5). G.f.: 144*x/(1-x)^7. (End) E.g.f.: x*(720 +1800*x +1200*x^2 +300*x^3 +30*x^4 +x^5)*exp(x)/5. - G. C. Greubel, Aug 27 2019 From Amiram Eldar, Jan 09 2022: (Start) Sum_{n>=1} 1/a(n) = 1/120. Sum_{n>=1} (-1)^(n+1)/a(n) = 4*log(2)/3 - 661/720. (End) MAPLE seq(144*binomial(n+5, 6), n = 0..30); # G. C. Greubel, Aug 27 2019 MATHEMATICA CoefficientList[Series[144*x/(1-x)^7, {x, 0, 30}], x] (* Vincenzo Librandi, Mar 05 2012 *) Table[(Times@@(n+Range[0, 5]))/5, {n, 0, 30}] (* Harvey P. Dale, Jul 01 2019 *) 144*Binomial[Range[30] +4, 6] (* G. C. Greubel, Aug 27 2019 *) PROG (MAGMA) [n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)/5: n in [1..30]]; // Vincenzo Librandi, Mar 05 2012 (PARI) vector(30, n, 144*binomial(n+4, 6)) \\ G. C. Greubel, Aug 27 2019 (Sage) [144*binomial(n+5, 6) for n in (0..30)] # G. C. Greubel, Aug 27 2019 (GAP) List([0..30], n-> 144*Binomial(n+5, 6)); # G. C. Greubel, Aug 27 2019 CROSSREFS Cf. A000579. Sequence in context: A120089 A159748 A235957 * A230796 A230789 A165080 Adjacent sequences:  A162666 A162667 A162668 * A162670 A162671 A162672 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Jul 10 2009 EXTENSIONS Definition factorized, offset corrected by R. J. Mathar, Jul 13 2009 STATUS approved

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Last modified June 30 12:40 EDT 2022. Contains 354939 sequences. (Running on oeis4.)