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 A069950 Expansion of (1+x^2)*(1+x^5)*(1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)*(1-x^10)). 3
 1, 1, 3, 4, 7, 11, 17, 25, 38, 53, 77, 105, 146, 196, 265, 350, 462, 600, 778, 994, 1270, 1601, 2016, 2514, 3126, 3857, 4745, 5797, 7063, 8554, 10331, 12411, 14871, 17734, 21093, 24986, 29519, 34747, 40801, 47746, 55746, 64884, 75353 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 G. E. Andrews, P. Paule and A. Riese, MacMahon's Partition Analysis VIII: Plane partition diamonds, Advances Applied Math., 27 (2001), 231-242. Index entries for linear recurrences with constant coefficients, signature (1, 2, -1, -2, 1, 1, -3, -1, 3, 1, -3, 2, 4, -1, -2, 1, -1, -3, -1, 0, 0, 0, 2, 2, 2, 0, 0, 0, -1, -3, -1, 1, -2, -1, 4, 2, -3, 1, 3, -1, -3, 1, 1, -2, -1, 2, 1, -1). FORMULA G.f.: (1+x^2)*(1+x^5)*(1+x^8)/( Product_{j=1..10} (1-x^j) ). - G. C. Greubel, Aug 16 2022 MATHEMATICA CoefficientList[Series[(1+x^2)*(1+x^5)*(1+x^8)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4)/ (1-x^5)/(1-x^6)/(1-x^7)/(1-x^8)/(1-x^9)/(1-x^10), {x, 0, 60}], x] (* Harvey P. Dale, Feb 25 2013 *) PROG (PARI) Vec((1+x^2)*(1+x^5)*(1+x^8)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4)/(1-x^5)/(1-x^6)/(1-x^7)/(1-x^8)/(1-x^9)/(1-x^10)+O(x^99)) \\ Charles R Greathouse IV, Sep 27 2012 (Magma) R:=PowerSeriesRing(Integers(), 60); Coefficients(R!( (1+x^2)*(1+x^5)*(1+x^8)/( (&*[1-x^j: j in [1..10]]) ) )); // G. C. Greubel, Aug 16 2022 (Sage) def A069950_list(prec): P. = PowerSeriesRing(ZZ, prec) return P( (1+x^2)*(1+x^5)*(1+x^8)/product(1-x^j for j in (1..10)) ).list() A069950_list(60) # G. C. Greubel, Aug 16 2022 CROSSREFS Cf. A008763, A060962. Sequence in context: A177041 A357680 A060962 * A147869 A319106 A250296 Adjacent sequences: A069947 A069948 A069949 * A069951 A069952 A069953 KEYWORD nonn,easy AUTHOR N. J. A. Sloane, May 05 2002 STATUS approved

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Last modified April 12 22:48 EDT 2024. Contains 371639 sequences. (Running on oeis4.)