A105084 Triangle read by rows: a[n, m] = a[n - 1, m] + binomial[n, m]; n <=m

1, 1, 2, 1, 5, 2, 1, 11, 6, 2, 1, 21, 16, 7, 2, 1, 36, 36, 22, 8, 2, 1, 57, 71, 57, 29, 9, 2, 1, 85, 127, 127, 85, 37, 10, 2, 1, 121, 211, 253, 211, 121, 46, 11, 2, 1, 166, 331, 463, 463, 331, 166, 56, 12, 2, 1, 221, 496, 793, 925, 793, 496, 221, 67, 13, 2, 1, 287, 716, 1288, 1717

Offset

0,3

Comments

Triangular binomial sequence related to Pascal's triangle.

Links

Table of n, a(n) for n=0..70.

Example

Triangle levels:
1
1,2
1,5,2
1,11,6,2
1,21,16,7,2
1,36,36,22,8,2
1,57,71,57,29,9,2

Mathematica

a[0, 0] = 1; a[1, 0] = 1; a[n_, 1] := a[n, 1] = 1; a[1, m_] := a[1, m] = 1 a[n_, m_] := a[n, m] = a[n - 1, m] + Binomial[n, m];

Crossrefs

Sequence in context: A146023 A104766 A361681 * A126125 A221876 A128514

Adjacent sequences: A105081 A105082 A105083 * A105085 A105086 A105087

Keyword

nonn,tabl

Author

Roger L. Bagula, Apr 06 2005

Status

approved