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A005339
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Putting balls into 6 boxes.
(Formerly M5245)
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0
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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; internal format)
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OFFSET
| 12,1
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Solution to Problem 68-16, SIAM Rev. 12 (1970), 294-297.
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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*(35-56*x+25*x^2-4*x^3+x^6)/(1-x)^6. - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 13 2008
a(12)=35, a(13)=154, a(14)=424, a(15)=930, a(16)=1775, a(17)=3080, a(18)=4985, 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) [From Harvey P. Dale, Aug 12 2011]
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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]] (* From Harvey P. Dale, Aug 12 2011 *)
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CROSSREFS
| Sequence in context: A048628 A048629 A133534 * A045614 A154074 A015219
Adjacent sequences: A005336 A005337 A005338 * A005340 A005341 A005342
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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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