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A028262 Elements in 3-Pascal triangle (by row). 21
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; refs; listen; history; internal format)
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 * A173117 A050177 A013580

Adjacent sequences:  A028259 A028260 A028261 * 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 February 17 03:37 EST 2012. Contains 205978 sequences.