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A066411 Form a triangle with the numbers [0..n] on the base, where each number is the sum of the two below; a(n) = number of different possible values for the apex. +0
3
1, 1, 3, 5, 23, 61, 143, 215, 995, 2481 (list; graph; listen)
OFFSET

0,3

COMMENT

a(n) = number of different possible sums of c_k * (n choose k) where the c_k are a permutation of 0 through n. - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 08 2006

EXAMPLE

For n = 2 we have three triangles:

..4.......5......3

.1,3.....2,3....2,1

0,1,2...0,2,1..2,0,1

with three different values for the apex, so a(2) = 3.

CROSSREFS

Cf. A062684, A062896.

Sequence in context: A100302 A023247 A027753 this_sequence A153410 A155778 A018978

Adjacent sequences: A066408 A066409 A066410 this_sequence A066412 A066413 A066414

KEYWORD

easy,more,nonn

AUTHOR

Naohiro Nomoto (n_nomoto(AT)yabumi.com), Dec 25 2001

EXTENSIONS

More terms from John W. Layman (layman(AT)math.vt.edu), Jan 07 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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