A102427 Triangle based on downward diagonals of A102426.

1, 1, 1, 1, 3, 2, 1, 5, 4, 1, 1, 7, 6, 6, 3, 1, 9, 8, 15, 10, 1, 1, 11, 10, 28, 21, 10, 4, 1, 13, 12, 45, 36, 35, 20, 1, 1, 15, 14, 66, 55, 84, 56, 15, 5, 1, 17, 16, 91, 78, 165, 120, 70, 35, 1, 1, 19, 18, 120, 105, 286, 220, 210, 126, 21, 6

Offset

0,5

Links

Table of n, a(n) for n=0..65.

Formula

T(n, k)=if(k<=n, binomial(floor((2n-k+2)/2)+n-k, floor((2n-k+1)/2)-n+k), 0) - Paul Barry, Jun 22 2005

Crossrefs

Cf. A011973, A102426, A102428, A102429.

Sequence in context: A183162 A309219 A019587 * A080883 A021315 A337315

Adjacent sequences: A102424 A102425 A102426 * A102428 A102429 A102430

Keyword

easy,nonn,tabl

Author

Russell Walsmith, Jan 11 2005

Extensions

Corrected and extended by Paul Barry, Jun 22 2005

Status

approved