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Search: id:A026122
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A026122 a(n) = number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 1, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n), where T is the array in A026120. +0
4
2, 4, 11, 28, 74, 196, 525, 1416, 3846, 10508, 28864, 79664, 220818, 614460, 1715874, 4807008, 13506534, 38052972, 107477319, 304261404, 863188662, 2453737132, 6988033949, 19935797080, 56966012730, 163026450132, 467219178549, 1340810339036 (list; graph; listen)
OFFSET

2,1

FORMULA

G.f.: z^2(-1+(1-z)^2M^2), with M the g.f. of the Motzkin numbers (A001006).

CROSSREFS

First differences of A026107.

Sequence in context: A024962 A122423 A099016 this_sequence A108629 A007048 A148132

Adjacent sequences: A026119 A026120 A026121 this_sequence A026123 A026124 A026125

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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


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