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 A027625 Numerator of n*(n+5)/((n+2)*(n+3)). 2
 0, 1, 7, 4, 6, 25, 11, 14, 52, 21, 25, 88, 34, 39, 133, 50, 56, 187, 69, 76, 250, 91, 99, 322, 116, 125, 403, 144, 154, 493, 175, 186, 592, 209, 221, 700, 246, 259, 817, 286, 300, 943, 329, 344, 1078, 375, 391, 1222 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Or numerator of n*(n+5)/6. - Altug Alkan, Apr 18 2018 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0, 0, 3, 0, 0, -3, 0, 0, 1). FORMULA G.f.: (-2x^8-x^7-x^6+4x^5+3x^4+4x^3+7x^2+x)/(1-x^3)^3. MATHEMATICA CoefficientList[Series[(-2 x^8 - x^7 - x^6 + 4 x^5 + 3x^4 + 4 x^3 + 7 x^2 + x)/(1 - x^3)^3, {x, 0, 50}], x] (* Vincenzo Librandi, Mar 04 2014 *) PROG (MAGMA) [Numerator(n*(n+5)/((n+2)*(n+3))): n in [0..50]]; // Vincenzo Librandi, Mar 04 2014 (PARI) a(n) = numerator(n*(n+5)/6); \\ Altug Alkan, Apr 18 2018 CROSSREFS Cf. A027626. Sequence in context: A347909 A085665 A176434 * A160575 A194361 A153586 Adjacent sequences:  A027622 A027623 A027624 * A027626 A027627 A027628 KEYWORD nonn,frac,easy AUTHOR STATUS approved

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Last modified December 3 20:35 EST 2021. Contains 349468 sequences. (Running on oeis4.)