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A138776
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Triangle read by rows: T(n,k)=binomial(n-2k,3k+1) (n>=1, 0<=k<=(n-1)/5).
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0
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1, 2, 3, 4, 5, 6, 1, 7, 5, 8, 15, 9, 35, 10, 70, 11, 126, 1, 12, 210, 8, 13, 330, 36, 14, 495, 120, 15, 715, 330, 16, 1001, 792, 1, 17, 1365, 1716, 11, 18, 1820, 3432, 66, 19, 2380, 6435, 286, 20, 3060, 11440, 1001
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Row n contains floor((n+4)/5) terms.
Row sums yield A137357.
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REFERENCES
| D. E. Knuth, The Art of Computer Programming, Vol. 4A, Section 7.1.4.
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MAPLE
| T:=proc(n, k) options operator, arrow: binomial(n-2*k, 3*k+1) end proc: for n to 20 do seq(T(n, k), k=0..(n-1)*1/5) end do; # yields sequence in triangular form
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CROSSREFS
| Cf. A137357.
Sequence in context: A104414 A125934 A125935 * A064830 A160377 A106608
Adjacent sequences: A138773 A138774 A138775 * A138777 A138778 A138779
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KEYWORD
| nonn,tabf
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AUTHOR
| Emeric Deutsch (deutsch(AT)duke.poly.edu), May 10 2008
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