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 A005339 Number of ways in which n identical balls can be distributed among 6 boxes in a row such that each pair of adjacent boxes contains at least 4 balls. (Formerly M5245) 4
 35, 154, 424, 930, 1775, 3080, 4985, 7650, 11256, 16006, 22126, 29866, 39501, 51332, 65687, 82922, 103422, 127602, 155908, 188818, 226843, 270528, 320453, 377234, 441524, 514014, 595434, 686554, 788185, 901180, 1026435, 1164890, 1317530 (list; graph; refs; listen; history; text; internal format)
 OFFSET 12,1 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS D. R. Breach, Letter to N. J. A. Sloane, Jun 1980 Philippe Flajolet, Balls and Urns, etc., A problem in submarine detection (solution to probl.68-16). M. Hayes (proposer) and D. R. Breach (solver), A combinatorial problem, Problem 68-16, SIAM Rev. 12 (1970), 294-297. Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1). FORMULA G.f.: x^12*(35-56*x+25*x^2-4*x^3+x^6)/(1-x)^6. - Vladeta Jovovic, Apr 13 2008 a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6), a(12)=35, a(13)=154, a(14)=424, a(15)=930, a(16)=1775, a(17)=3080, a(18)=4985. - Harvey P. Dale, Aug 12 2011 MATHEMATICA Drop[CoefficientList[Series[x^12(35-56x+25x^2-4x^3+x^6)/(1-x)^6, {x, 0, 60}], x], 12] (* or *) Join[{35}, LinearRecurrence[{6, -15, 20, -15, 6, -1}, {154, 424, 930, 1775, 3080, 4985}, 48]] (* Harvey P. Dale, Aug 12 2011 *) CROSSREFS Cf. A005337, A005338, A005340. Sequence in context: A048628 A048629 A133534 * A045614 A154074 A260867 Adjacent sequences:  A005336 A005337 A005338 * A005340 A005341 A005342 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Vladeta Jovovic, Apr 13 2008 Name clarified by Alois P. Heinz, Oct 02 2017 STATUS approved

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Last modified June 19 17:16 EDT 2019. Contains 324222 sequences. (Running on oeis4.)