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A005340
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Putting balls into 7 boxes.
(Formerly M4903)
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0
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1, 13, 76, 295, 889, 2188, 4652, 8891, 15686, 26011, 41056, 62251, 91291, 130162, 181168, 246959, 330560, 435401, 565348, 724735, 918397, 1151704, 1430596, 1761619, 2151962, 2609495, 3142808, 3761251, 4474975, 5294974, 6233128
(list; graph; refs; listen; history; internal format)
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OFFSET
| 12,2
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REFERENCES
| Solution to Problem 68-16, SIAM Rev. 12 (1970), 294-297.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Philippe Flajolet, BALLS AND URNS, ETC. A problem in submarine detection (solution to probl.68-16)
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FORMULA
| G.f.: x^12*(1+6*x+6*x^2+x^3-66*x^5+74*x^6-21*x^7)/(1-x)^7. - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 13 2008
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MATHEMATICA
| f[x_] := x^12*(1 + 6*x + 6*x^2 + x^3 - 66*x^5 + 74*x^6 - 21*x^7)/(1-x)^7; Drop[ CoefficientList[ Series[f[x], {x, 0, 42}], x], 12] (* From Jean-François Alcover, Oct 05 2011, after Vladeta Jovovic *)
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CROSSREFS
| Sequence in context: A073544 A051361 A114070 * A114244 A050485 A034265
Adjacent sequences: A005337 A005338 A005339 * A005341 A005342 A005343
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 13 2008
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