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A205946 Triangle read by rows related to A000984, central binomial coefficients 3
1, 1, 1, 1, 4, 1, 1, 12, 6, 1, 1, 33, 27, 8, 1, 1, 88, 108, 44, 10, 1, 1, 232, 405, 208, 65, 12, 1, 1, 609, 1459, 908, 350, 90, 14, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..35.

FORMULA

T(n,k) = A191314(2*n,k).

Take finite differences of even numbered columns of the A205573 array from the top -> down.

EXAMPLE

First few rows of the triangle =

1;

1, 1;

1, 4, 1;

1, 12, 6, 1;

1, 33, 27, 8, 1;

1, 88, 108, 44, 10, 1;

1, 232, 405, 208, 65, 12, 1;

1, 609, 1459, 908, 350, 90, 14, 1;

...

Row 2 = (1, 4, 1) = row 4 of triangle A191314.

Row 3 = (1, 12, 6, 1) = finite differences of column 6 of the array shown in A205573: (1, 13, 19, 20)

CROSSREFS

Cf. A000984 (row sums), A001405, A191314, A205573, A205945 (companion).

Sequence in context: A173152 A156049 A192015 * A101919 A055106 A154372

Adjacent sequences:  A205943 A205944 A205945 * A205947 A205948 A205949

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Feb 01 2012

STATUS

approved

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Last modified October 22 14:46 EDT 2018. Contains 316487 sequences. (Running on oeis4.)