A155798 Triangle read by rows: t(n,k)=Binomial[n, k] + Binomial[k*(n - k), n]

2, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 16, 16, 5, 1, 1, 6, 43, 104, 43, 6, 1, 1, 7, 141, 827, 827, 141, 7, 1, 1, 8, 523, 6491, 12940, 6491, 523, 8, 1, 1, 9, 2038, 48704, 168086, 168086, 48704, 2038, 9, 1, 1, 10, 8053, 352836, 1961466, 3269012, 1961466, 352836

Offset

0,1

Comments

Row sums are: {2, 2, 4, 8, 17, 44, 204, 1952, 26986, 437676, 7913744,...}.

Links

Table of n, a(n) for n=0..62.

Example

{2},
{1, 1},
{1, 2, 1},
{1, 3, 3, 1},
{1, 4, 7, 4, 1},
{1, 5, 16, 16, 5, 1},
{1, 6, 43, 104, 43, 6, 1},
{1, 7, 141, 827, 827, 141, 7, 1},
{1, 8, 523, 6491, 12940, 6491, 523, 8, 1},
{1, 9, 2038, 48704, 168086, 168086, 48704, 2038, 9, 1},
{1, 10, 8053, 352836, 1961466, 3269012, 1961466, 352836, 8053, 10, 1}

Mathematica

Table[Table[Binomial[n, k] + Binomial[k*(n - k), n], {k, 0, n}], {n, 0, 10}]; Flatten[%]

Crossrefs

Sequence in context: A118107 A236548 A249949 * A055652 A290084 A154844

Adjacent sequences: A155795 A155796 A155797 * A155799 A155800 A155801

Keyword

nonn,tabl

Author

Roger L. Bagula, Jan 27 2009

Extensions

Edited by N. J. A. Sloane, Jan 31 2009

Status

approved