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A000800 Sum of upward diagonals of Eulerian triangle. +0
1
1, 1, 1, 2, 5, 13, 38, 125, 449, 1742, 7269, 32433, 153850, 772397, 4088773, 22746858, 132601933, 807880821, 5132235182, 33925263901, 232905588441, 1657807491222, 12215424018837, 93042845392105, 731622663432978, 5931915237693517 (list; graph; listen)
OFFSET

1,4

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 243.

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 254.

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 215.

CROSSREFS

Equals Sum[k=1..floor(n/2), A008292(n-k, k)].

Sequence in context: A148303 A148304 A149859 this_sequence A149860 A006823 A151446

Adjacent sequences: A000797 A000798 A000799 this_sequence A000801 A000802 A000803

KEYWORD

nonn,easy,nice

AUTHOR

Tony Harkin [ harkin(AT)mit.edu, tharkin(AT)vortex.weather.brockport.edu ]

EXTENSIONS

More terms from David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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