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 A005405 Number of protruded partitions of n with largest part at most 4. (Formerly M2565) 1
 1, 3, 6, 13, 24, 47, 86, 159, 285, 509, 895, 1565, 2708, 4660, 7964, 13543, 22912, 38604, 64785, 108356, 180661, 300384, 498183, 824365, 1361302, 2243799, 3692159, 6066161, 9952786, 16309055, 26694132, 43646685, 71297770, 116366274, 189774755, 309271954, 503687536 (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 Vincenzo Librandi, Table of n, a(n) for n = 1..1000 R. P. Stanley, A Fibonacci lattice, Fib. Quart., 13 (1975), 215-232. FORMULA G.f.: (1-x)^4/Product(1-x-x^i+x^(1+2*i), i=1..4)-1. - Emeric Deutsch, Dec 19 2004 MAPLE G:=(1-x)^4/Product(1-x-x^i+x^(1+2*i), i=1..4)-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)^4/Product[1 - x - x^i + x^(1 + 2 i), {i, 4}] - 1, {x, 0, 34}], x] (* Michael De Vlieger, Sep 05 2017 *) CROSSREFS Sequence in context: A293421 A018081 A001452 * A225196 A301597 A225197 Adjacent sequences:  A005402 A005403 A005404 * A005406 A005407 A005408 KEYWORD nonn AUTHOR EXTENSIONS More terms from Emeric Deutsch, Dec 19 2004 STATUS approved

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Last modified June 26 19:55 EDT 2022. Contains 354885 sequences. (Running on oeis4.)