A235999 - OEIS

A235999

Triangle read by rows: T(n,k) = 2^k*A235998(n,k), n>=1, k>=1.

2, 4, 4, 8, 6, 20, 4, 56, 8, 88, 48, 4, 176, 144, 8, 272, 448, 6, 428, 1168, 8, 688, 2496, 384, 4, 1044, 5416, 1344, 12, 1584, 10864, 4608, 4, 2424, 21328, 13152, 8, 3800, 40096, 35616, 8, 5656, 76336, 84864, 3840, 10, 8952, 140248, 200224, 15360

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OFFSET

1,1

COMMENTS

T(n,k) is also the number of overcompositions of n having k distinct parts. For the definition of overcomposition see A236002.

Row n has length A003056(n) hence the first element of column k is in row A000217(k).

Row sums give A236002, n >= 1.

Column 1 is A062011.

T(k*(k+1)/2,k) = T(A000217(k),k) = A000165(k) = (2*k)!!. - Alois P. Heinz, Jan 20 2014

LINKS

Alois P. Heinz, Rows n = 1..500, flattened

EXAMPLE

Triangle begins:

4, 8;

6, 20;

4, 56;

8, 88, 48;

4, 176, 144;

8, 272, 448;

6, 428, 1168;

8, 688, 2496, 384;

4, 1044, 5416, 1344;

12, 1584, 10864, 4608;

4, 2424, 21328, 13152;

8, 3800, 40096, 35616;

8, 5656, 76336, 84864, 3840;

10, 8952, 140248, 200224, 15360;

...

CROSSREFS

Cf. A003056, A011782, A062011, A116608, A235790, A235998, A236002.

Sequence in context: A366621 A110794 A117295 * A093820 A095400 A237264

Adjacent sequences: A235996 A235997 A235998 * A236000 A236001 A236002

KEYWORD

nonn,tabf,look

AUTHOR

Omar E. Pol, Jan 19 2014

EXTENSIONS

More terms from Alois P. Heinz, Jan 20 2014

STATUS

approved