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A005337
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Putting balls into 4 boxes.
(Formerly M4963)
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1
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15, 40, 76, 124, 185, 260, 350, 456, 579, 720, 880, 1060, 1261, 1484, 1730, 2000, 2295, 2616, 2964, 3340, 3745, 4180, 4646, 5144, 5675, 6240, 6840, 7476, 8149, 8860, 9610, 10400, 11231, 12104, 13020, 13980, 14985
(list; graph; refs; listen; history; internal format)
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OFFSET
| 8,1
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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)
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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FORMULA
| G.f.: (15 - 20x + 6x^2 ) / (1 - x )^4.
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MAPLE
| A005337:=(15-20*z+6*z**2)/(z-1)**4; [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
| Sequence in context: A044092 A044473 A067724 * A160891 A175926 A038991
Adjacent sequences: A005334 A005335 A005336 * A005338 A005339 A005340
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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