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 A005406 Number of protruded partitions of n with largest part at most 5. (Formerly M2569) 0
 1, 3, 6, 13, 25, 49, 91, 170, 309, 558, 992, 1752, 3062, 5317, 9166, 15712, 26784, 45447, 76775, 129203, 216662, 362177, 603671, 1003566, 1664389, 2754382, 4549207, 7500096, 12344840, 20288723, 33298979, 54584077, 89373081, 146182754 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). R. P. Stanley, Ordered structures and partitions, Memoirs of the Amer. Math. Soc., no. 119 (1972). LINKS R. P. Stanley, A Fibonacci lattice, Fib. Quart., 13 (1975), 215-232. FORMULA G.f.: (1-x)^5/Product(1-x-x^i+x^(1+2*i), i=1..5)-1. - Emeric Deutsch, Dec 19 2004 MAPLE G:=(1-x)^5/Product(1-x-x^i+x^(1+2*i), i=1..5)-1: Gser:=series(G, x=0, 39): seq(coeff(Gser, x^n), n=1..37); # Emeric Deutsch, Dec 19 2004 MATHEMATICA Rest@ CoefficientList[Series[(1 - x)^5/Product[1 - x - x^i + x^(1 + 2 i), {i, 5}] - 1, {x, 0, 34}], x] (* Michael De Vlieger, Sep 05 2017 *) CROSSREFS Sequence in context: A182808 A285461 A324129 * A005407 A005116 A121349 Adjacent sequences:  A005403 A005404 A005405 * A005407 A005408 A005409 KEYWORD nonn AUTHOR EXTENSIONS More terms from Emeric Deutsch, Dec 19 2004 STATUS approved

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Last modified October 23 22:28 EDT 2019. Contains 328373 sequences. (Running on oeis4.)