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A028262 Elements in 3-Pascal triangle (by row). +0
23
1, 1, 1, 1, 3, 1, 1, 4, 4, 1, 1, 5, 8, 5, 1, 1, 6, 13, 13, 6, 1, 1, 7, 19, 26, 19, 7, 1, 1, 8, 26, 45, 45, 26, 8, 1, 1, 9, 34, 71, 90, 71, 34, 9, 1, 1, 10, 43, 105, 161, 161, 105, 43, 10, 1, 1, 11, 53, 148, 266, 322, 266, 148, 53, 11, 1, 1, 12, 64, 201, 414, 588, 588, 414, 201, 64 (list; table; graph; listen)
OFFSET

0,5

FORMULA

After the 3rd row, use Pascal's rule.

T(n, k) = C(n, k) + C(n-2, k-1). G.f.: (1+x^2y) / [1-x(1+y)]. - R. Stephan, Jan 31 2005

EXAMPLE

1; 1 1; 1 3 1; 1 4 4 1; 1 5 8 5 1; ...

CROSSREFS

Cf. A072405, A028275.

Sequence in context: A077228 A049687 A132735 this_sequence A050177 A013580 A147290

Adjacent sequences: A028259 A028260 A028261 this_sequence A028263 A028264 A028265

KEYWORD

nonn,nice,tabl

AUTHOR

Mohammad K. Azarian (ma3(AT)evansville.edu)

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu)

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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