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 A276235 Number of triangular partitions of n of order 6. 4
 1, 6, 21, 61, 156, 361, 781, 1599, 3124, 5876, 10696, 18917, 32627, 55027, 90948, 147604, 235610, 370395, 574181, 878616, 1328343, 1985833, 2937727, 4303249, 6245316, 8984932, 12819913, 18149148, 25503623, 35586130, 49321916, 67922649, 92967170, 126503102 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 L. Carlitz, R. Scoville, A generating function for triangular partitions, Math. Comp. 29 (1975) 67-77. FORMULA G.f.: 1/((1-x)^6*(1-x^3)^5*(1-x^5)^4*(1-x^7)^3*(1-x^9)^2* (1-x^11)). MATHEMATICA CoefficientList[Series[1/((1 - x)^6 (1 - x^3)^5 (1 - x^5)^4 (1 - x^7)^3 (1 - x^9)^2 (1 - x^11)), {x, 0, 50}], x] PROG (MAGMA) m:=50; R:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)^6*(1-x^3)^5*(1-x^5)^4*(1-x^7)^3*(1-x^9)^2*(1-x^11)))); (PARI) Vec(1/((1-x)^6*(1-x^3)^5*(1-x^5)^4*(1-x^7)^3*(1-x^9)^2*(1-x^11)) + O(x^30)) \\ Felix FrÃ¶hlich, Aug 29 2016 CROSSREFS Cf. number of triangular partitions of n of order k: A000012 (k=1), A001840 (k=2), A084439 (k=3). A084446 (k=4), A084447 (k=5), this sequence (k=6), A276236 (k=7), A276279 (k=8), A276280 (k=9). Sequence in context: A113070 A009147 A012593 * A334833 A048476 A122678 Adjacent sequences:  A276232 A276233 A276234 * A276236 A276237 A276238 KEYWORD nonn,easy AUTHOR Vincenzo Librandi, Aug 29 2016 STATUS approved

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Last modified September 22 07:34 EDT 2020. Contains 337289 sequences. (Running on oeis4.)