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A026810
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Number of partitions of n in which the greatest part is 4.
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11
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0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 9, 11, 15, 18, 23, 27, 34, 39, 47, 54, 64, 72, 84, 94, 108, 120, 136, 150, 169, 185, 206, 225, 249, 270, 297, 321, 351, 378, 411, 441, 478, 511, 551, 588, 632, 672, 720, 764, 816, 864, 920, 972, 1033, 1089, 1154, 1215, 1285, 1350
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,7
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COMMENTS
| Also number of partitions of n into exactly 4 parts.
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REFERENCES
| G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, p. 275.
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FORMULA
| G.f.: x^4/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).
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MATHEMATICA
| Table[ Length[ Select[ Partitions[n], First[ # ] == 4 & ]], {n, 1, 60} ]
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CROSSREFS
| Essentially same as A001400.
Cf. A026811, A026812, A026813, A026814, A026815, A026816.
Sequence in context: A123399 A104738 A028309 * A001400 A008773 A008772
Adjacent sequences: A026807 A026808 A026809 * A026811 A026812 A026813
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 11 2002
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