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Search: id:A026820
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| A026820 |
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Euler's table: triangular array T read by rows, where T(n,k) = number of partitions in which every part is <=k for 1<=k<=n. Also number of partitions of n into at most k parts. |
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11
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| 1, 1, 2, 1, 2, 3, 1, 3, 4, 5, 1, 3, 5, 6, 7, 1, 4, 7, 9, 10, 11, 1, 4, 8, 11, 13, 14, 15, 1, 5, 10, 15, 18, 20, 21, 22, 1, 5, 12, 18, 23, 26, 28, 29, 30, 1, 6, 14, 23, 30, 35, 38, 40, 41, 42, 1, 6, 16, 27, 37, 44, 49, 52, 54, 55, 56, 1, 7, 19, 34, 47, 58
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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T(T(n,n),n) = A134737(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 07 2007
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REFERENCES
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 831.
G. Chrystal, Algebra, Vol. II, p. 558.
L. Euler, Introductio in Analysin Infinitorum, Book I, chapter XVI.
D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Section XIV.2, p. 493.
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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EXAMPLE
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1; 1,2; 1,2,3; 1,3,4,5; 1,3,5,6,7; ...
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CROSSREFS
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Partial sums of rows of A008284.
Sequence in context: A036838 A066010 A109974 this_sequence A091438 A011794 A073300
Adjacent sequences: A026817 A026818 A026819 this_sequence A026821 A026822 A026823
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KEYWORD
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nonn,tabl,easy,nice
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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